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Simplifying 3(z + -9) = 8(2z + -4) Reorder the terms: 3(-9 + z) = 8(2z + -4) (-9 * 3 + z * 3) = 8(2z + -4) (-27 + 3z) = 8(2z + -4) Reorder the terms: -27 + 3z = 8(-4 + 2z) -27 + 3z = (-4 * 8 + 2z * 8) -27 + 3z = (-32 + 16z) Solving -27 + 3z = -32 + 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. -27 + 3z + -16z = -32 + 16z + -16z Combine like terms: 3z + -16z = -13z -27 + -13z = -32 + 16z + -16z Combine like terms: 16z + -16z = 0 -27 + -13z = -32 + 0 -27 + -13z = -32 Add '27' to each side of the equation. -27 + 27 + -13z = -32 + 27 Combine like terms: -27 + 27 = 0 0 + -13z = -32 + 27 -13z = -32 + 27 Combine like terms: -32 + 27 = -5 -13z = -5 Divide each side by '-13'. z = 0.3846153846 Simplifying z = 0.3846153846
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