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Simplifying 2(9 + -2z) + -3(4z + 7) = z + -4 (9 * 2 + -2z * 2) + -3(4z + 7) = z + -4 (18 + -4z) + -3(4z + 7) = z + -4 Reorder the terms: 18 + -4z + -3(7 + 4z) = z + -4 18 + -4z + (7 * -3 + 4z * -3) = z + -4 18 + -4z + (-21 + -12z) = z + -4 Reorder the terms: 18 + -21 + -4z + -12z = z + -4 Combine like terms: 18 + -21 = -3 -3 + -4z + -12z = z + -4 Combine like terms: -4z + -12z = -16z -3 + -16z = z + -4 Reorder the terms: -3 + -16z = -4 + z Solving -3 + -16z = -4 + z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-1z' to each side of the equation. -3 + -16z + -1z = -4 + z + -1z Combine like terms: -16z + -1z = -17z -3 + -17z = -4 + z + -1z Combine like terms: z + -1z = 0 -3 + -17z = -4 + 0 -3 + -17z = -4 Add '3' to each side of the equation. -3 + 3 + -17z = -4 + 3 Combine like terms: -3 + 3 = 0 0 + -17z = -4 + 3 -17z = -4 + 3 Combine like terms: -4 + 3 = -1 -17z = -1 Divide each side by '-17'. z = 0.05882352941 Simplifying z = 0.05882352941
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