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Simplifying 5(1 + 6) = 4(z + -7) + z Combine like terms: 1 + 6 = 7 5(7) = 4(z + -7) + z Multiply 5 * 7 35 = 4(z + -7) + z Reorder the terms: 35 = 4(-7 + z) + z 35 = (-7 * 4 + z * 4) + z 35 = (-28 + 4z) + z Combine like terms: 4z + z = 5z 35 = -28 + 5z Solving 35 = -28 + 5z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-5z' to each side of the equation. 35 + -5z = -28 + 5z + -5z Combine like terms: 5z + -5z = 0 35 + -5z = -28 + 0 35 + -5z = -28 Add '-35' to each side of the equation. 35 + -35 + -5z = -28 + -35 Combine like terms: 35 + -35 = 0 0 + -5z = -28 + -35 -5z = -28 + -35 Combine like terms: -28 + -35 = -63 -5z = -63 Divide each side by '-5'. z = 12.6 Simplifying z = 12.6
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