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Simplifying -9z + -1(4 + 3z) = -1(2z + -1) + 25 -9z + (4 * -1 + 3z * -1) = -1(2z + -1) + 25 -9z + (-4 + -3z) = -1(2z + -1) + 25 Reorder the terms: -4 + -9z + -3z = -1(2z + -1) + 25 Combine like terms: -9z + -3z = -12z -4 + -12z = -1(2z + -1) + 25 Reorder the terms: -4 + -12z = -1(-1 + 2z) + 25 -4 + -12z = (-1 * -1 + 2z * -1) + 25 -4 + -12z = (1 + -2z) + 25 Reorder the terms: -4 + -12z = 1 + 25 + -2z Combine like terms: 1 + 25 = 26 -4 + -12z = 26 + -2z Solving -4 + -12z = 26 + -2z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '2z' to each side of the equation. -4 + -12z + 2z = 26 + -2z + 2z Combine like terms: -12z + 2z = -10z -4 + -10z = 26 + -2z + 2z Combine like terms: -2z + 2z = 0 -4 + -10z = 26 + 0 -4 + -10z = 26 Add '4' to each side of the equation. -4 + 4 + -10z = 26 + 4 Combine like terms: -4 + 4 = 0 0 + -10z = 26 + 4 -10z = 26 + 4 Combine like terms: 26 + 4 = 30 -10z = 30 Divide each side by '-10'. z = -3 Simplifying z = -3
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