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Simplifying 5(z + -5) + -1(3 + -1z) = -106 Reorder the terms: 5(-5 + z) + -1(3 + -1z) = -106 (-5 * 5 + z * 5) + -1(3 + -1z) = -106 (-25 + 5z) + -1(3 + -1z) = -106 -25 + 5z + (3 * -1 + -1z * -1) = -106 -25 + 5z + (-3 + 1z) = -106 Reorder the terms: -25 + -3 + 5z + 1z = -106 Combine like terms: -25 + -3 = -28 -28 + 5z + 1z = -106 Combine like terms: 5z + 1z = 6z -28 + 6z = -106 Solving -28 + 6z = -106 Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '28' to each side of the equation. -28 + 28 + 6z = -106 + 28 Combine like terms: -28 + 28 = 0 0 + 6z = -106 + 28 6z = -106 + 28 Combine like terms: -106 + 28 = -78 6z = -78 Divide each side by '6'. z = -13 Simplifying z = -13
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