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Simplifying 6(z + -3) + -1(5z + -2) = 87 Reorder the terms: 6(-3 + z) + -1(5z + -2) = 87 (-3 * 6 + z * 6) + -1(5z + -2) = 87 (-18 + 6z) + -1(5z + -2) = 87 Reorder the terms: -18 + 6z + -1(-2 + 5z) = 87 -18 + 6z + (-2 * -1 + 5z * -1) = 87 -18 + 6z + (2 + -5z) = 87 Reorder the terms: -18 + 2 + 6z + -5z = 87 Combine like terms: -18 + 2 = -16 -16 + 6z + -5z = 87 Combine like terms: 6z + -5z = 1z -16 + 1z = 87 Solving -16 + 1z = 87 Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '16' to each side of the equation. -16 + 16 + 1z = 87 + 16 Combine like terms: -16 + 16 = 0 0 + 1z = 87 + 16 1z = 87 + 16 Combine like terms: 87 + 16 = 103 1z = 103 Divide each side by '1'. z = 103 Simplifying z = 103
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