Simplify and solve the linear equation 3(5z – 7) – 2(9z – 11) = 4(8z – 13) – 17
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Solution
3(5z − 7) − 2(9z − 11) = 4(8z − 13)−17
⇒ 15z − 21 − 18z + 22 = 32z − 52 − 17 (Opening the brackets)
⇒ −3z + 1 = 32z − 69
⇒ −3z − 32z = −69 − 1
⇒ −35z = −70
⇒ `z = 70/35 = 2`
Concept: Reducing Equations to Simpler Form
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