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Simplifying 10z + 7 = 8(2z + -4) + -9 Reorder the terms: 7 + 10z = 8(2z + -4) + -9 Reorder the terms: 7 + 10z = 8(-4 + 2z) + -9 7 + 10z = (-4 * 8 + 2z * 8) + -9 7 + 10z = (-32 + 16z) + -9 Reorder the terms: 7 + 10z = -32 + -9 + 16z Combine like terms: -32 + -9 = -41 7 + 10z = -41 + 16z Solving 7 + 10z = -41 + 16z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-16z' to each side of the equation. 7 + 10z + -16z = -41 + 16z + -16z Combine like terms: 10z + -16z = -6z 7 + -6z = -41 + 16z + -16z Combine like terms: 16z + -16z = 0 7 + -6z = -41 + 0 7 + -6z = -41 Add '-7' to each side of the equation. 7 + -7 + -6z = -41 + -7 Combine like terms: 7 + -7 = 0 0 + -6z = -41 + -7 -6z = -41 + -7 Combine like terms: -41 + -7 = -48 -6z = -48 Divide each side by '-6'. z = 8 Simplifying z = 8
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