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Simplifying 3(2z + -5) = 7(y + -1) Reorder the terms: 3(-5 + 2z) = 7(y + -1) (-5 * 3 + 2z * 3) = 7(y + -1) (-15 + 6z) = 7(y + -1) Reorder the terms: -15 + 6z = 7(-1 + y) -15 + 6z = (-1 * 7 + y * 7) -15 + 6z = (-7 + 7y) Solving -15 + 6z = -7 + 7y Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '15' to each side of the equation. -15 + 15 + 6z = -7 + 15 + 7y Combine like terms: -15 + 15 = 0 0 + 6z = -7 + 15 + 7y 6z = -7 + 15 + 7y Combine like terms: -7 + 15 = 8 6z = 8 + 7y Divide each side by '6'. z = 1.333333333 + 1.166666667y Simplifying z = 1.333333333 + 1.166666667y
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