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Question
Simplify and solve the linear equation:
3(5z – 7) – 2(9z – 11) = 4(8z – 13) – 17
Solution
3(5z − 7) − 2(9z − 11) = 4(8z − 13) − 17
⇒ 15z − 21 − 18z + 22 = 32z − 52 − 17 (Opening the brackets)
⇒ 15z − 21 − 182 + 22 = 32z − 52 −17
⇒ 15z − 18z − 32z = 21 − 22 − 52 − 17
⇒ −35z = −70
⇒ `z = (−70)/(−35)`
⇒ z = 2
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