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Simplifying -4(7) + 2(-9) + -7(-9) = z Multiply -4 * 7 -28 + 2(-9) + -7(-9) = z Multiply 2 * -9 -28 + -18 + -7(-9) = z Multiply -7 * -9 -28 + -18 + 63 = z Combine like terms: -28 + -18 = -46 -46 + 63 = z Combine like terms: -46 + 63 = 17 17 = z Solving 17 = 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. 17 + -1z = z + -1z Combine like terms: z + -1z = 0 17 + -1z = 0 Add '-17' to each side of the equation. 17 + -17 + -1z = 0 + -17 Combine like terms: 17 + -17 = 0 0 + -1z = 0 + -17 -1z = 0 + -17 Combine like terms: 0 + -17 = -17 -1z = -17 Divide each side by '-1'. z = 17 Simplifying z = 17
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