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Simplifying 7(z + -9) + -1(8z + -6) = -16z Reorder the terms: 7(-9 + z) + -1(8z + -6) = -16z (-9 * 7 + z * 7) + -1(8z + -6) = -16z (-63 + 7z) + -1(8z + -6) = -16z Reorder the terms: -63 + 7z + -1(-6 + 8z) = -16z -63 + 7z + (-6 * -1 + 8z * -1) = -16z -63 + 7z + (6 + -8z) = -16z Reorder the terms: -63 + 6 + 7z + -8z = -16z Combine like terms: -63 + 6 = -57 -57 + 7z + -8z = -16z Combine like terms: 7z + -8z = -1z -57 + -1z = -16z Solving -57 + -1z = -16z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '16z' to each side of the equation. -57 + -1z + 16z = -16z + 16z Combine like terms: -1z + 16z = 15z -57 + 15z = -16z + 16z Combine like terms: -16z + 16z = 0 -57 + 15z = 0 Add '57' to each side of the equation. -57 + 57 + 15z = 0 + 57 Combine like terms: -57 + 57 = 0 0 + 15z = 0 + 57 15z = 0 + 57 Combine like terms: 0 + 57 = 57 15z = 57 Divide each side by '15'. z = 3.8 Simplifying z = 3.8
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