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Simplifying 2(7 + -2z) + -3(4z + 7) = z + -9 (7 * 2 + -2z * 2) + -3(4z + 7) = z + -9 (14 + -4z) + -3(4z + 7) = z + -9 Reorder the terms: 14 + -4z + -3(7 + 4z) = z + -9 14 + -4z + (7 * -3 + 4z * -3) = z + -9 14 + -4z + (-21 + -12z) = z + -9 Reorder the terms: 14 + -21 + -4z + -12z = z + -9 Combine like terms: 14 + -21 = -7 -7 + -4z + -12z = z + -9 Combine like terms: -4z + -12z = -16z -7 + -16z = z + -9 Reorder the terms: -7 + -16z = -9 + z Solving -7 + -16z = -9 + 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. -7 + -16z + -1z = -9 + z + -1z Combine like terms: -16z + -1z = -17z -7 + -17z = -9 + z + -1z Combine like terms: z + -1z = 0 -7 + -17z = -9 + 0 -7 + -17z = -9 Add '7' to each side of the equation. -7 + 7 + -17z = -9 + 7 Combine like terms: -7 + 7 = 0 0 + -17z = -9 + 7 -17z = -9 + 7 Combine like terms: -9 + 7 = -2 -17z = -2 Divide each side by '-17'. z = 0.1176470588 Simplifying z = 0.1176470588
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