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Simplifying -7(z + -9) + -1(1 + -3z) = -5z Reorder the terms: -7(-9 + z) + -1(1 + -3z) = -5z (-9 * -7 + z * -7) + -1(1 + -3z) = -5z (63 + -7z) + -1(1 + -3z) = -5z 63 + -7z + (1 * -1 + -3z * -1) = -5z 63 + -7z + (-1 + 3z) = -5z Reorder the terms: 63 + -1 + -7z + 3z = -5z Combine like terms: 63 + -1 = 62 62 + -7z + 3z = -5z Combine like terms: -7z + 3z = -4z 62 + -4z = -5z Solving 62 + -4z = -5z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '5z' to each side of the equation. 62 + -4z + 5z = -5z + 5z Combine like terms: -4z + 5z = 1z 62 + 1z = -5z + 5z Combine like terms: -5z + 5z = 0 62 + 1z = 0 Add '-62' to each side of the equation. 62 + -62 + 1z = 0 + -62 Combine like terms: 62 + -62 = 0 0 + 1z = 0 + -62 1z = 0 + -62 Combine like terms: 0 + -62 = -62 1z = -62 Divide each side by '1'. z = -62 Simplifying z = -62
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