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Simplifying 4(z + -8) + -2(z + -9) = 7(z + -57) Reorder the terms: 4(-8 + z) + -2(z + -9) = 7(z + -57) (-8 * 4 + z * 4) + -2(z + -9) = 7(z + -57) (-32 + 4z) + -2(z + -9) = 7(z + -57) Reorder the terms: -32 + 4z + -2(-9 + z) = 7(z + -57) -32 + 4z + (-9 * -2 + z * -2) = 7(z + -57) -32 + 4z + (18 + -2z) = 7(z + -57) Reorder the terms: -32 + 18 + 4z + -2z = 7(z + -57) Combine like terms: -32 + 18 = -14 -14 + 4z + -2z = 7(z + -57) Combine like terms: 4z + -2z = 2z -14 + 2z = 7(z + -57) Reorder the terms: -14 + 2z = 7(-57 + z) -14 + 2z = (-57 * 7 + z * 7) -14 + 2z = (-399 + 7z) Solving -14 + 2z = -399 + 7z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-7z' to each side of the equation. -14 + 2z + -7z = -399 + 7z + -7z Combine like terms: 2z + -7z = -5z -14 + -5z = -399 + 7z + -7z Combine like terms: 7z + -7z = 0 -14 + -5z = -399 + 0 -14 + -5z = -399 Add '14' to each side of the equation. -14 + 14 + -5z = -399 + 14 Combine like terms: -14 + 14 = 0 0 + -5z = -399 + 14 -5z = -399 + 14 Combine like terms: -399 + 14 = -385 -5z = -385 Divide each side by '-5'. z = 77 Simplifying z = 77
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