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Simplifying -7 + 3(-3z + 4) = 4(-8z + -3) + -4 Reorder the terms: -7 + 3(4 + -3z) = 4(-8z + -3) + -4 -7 + (4 * 3 + -3z * 3) = 4(-8z + -3) + -4 -7 + (12 + -9z) = 4(-8z + -3) + -4 Combine like terms: -7 + 12 = 5 5 + -9z = 4(-8z + -3) + -4 Reorder the terms: 5 + -9z = 4(-3 + -8z) + -4 5 + -9z = (-3 * 4 + -8z * 4) + -4 5 + -9z = (-12 + -32z) + -4 Reorder the terms: 5 + -9z = -12 + -4 + -32z Combine like terms: -12 + -4 = -16 5 + -9z = -16 + -32z Solving 5 + -9z = -16 + -32z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '32z' to each side of the equation. 5 + -9z + 32z = -16 + -32z + 32z Combine like terms: -9z + 32z = 23z 5 + 23z = -16 + -32z + 32z Combine like terms: -32z + 32z = 0 5 + 23z = -16 + 0 5 + 23z = -16 Add '-5' to each side of the equation. 5 + -5 + 23z = -16 + -5 Combine like terms: 5 + -5 = 0 0 + 23z = -16 + -5 23z = -16 + -5 Combine like terms: -16 + -5 = -21 23z = -21 Divide each side by '23'. z = -0.9130434783 Simplifying z = -0.9130434783
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