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Simplifying -6(8 + -1z) = 10(z + 1) (8 * -6 + -1z * -6) = 10(z + 1) (-48 + 6z) = 10(z + 1) Reorder the terms: -48 + 6z = 10(1 + z) -48 + 6z = (1 * 10 + z * 10) -48 + 6z = (10 + 10z) Solving -48 + 6z = 10 + 10z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-10z' to each side of the equation. -48 + 6z + -10z = 10 + 10z + -10z Combine like terms: 6z + -10z = -4z -48 + -4z = 10 + 10z + -10z Combine like terms: 10z + -10z = 0 -48 + -4z = 10 + 0 -48 + -4z = 10 Add '48' to each side of the equation. -48 + 48 + -4z = 10 + 48 Combine like terms: -48 + 48 = 0 0 + -4z = 10 + 48 -4z = 10 + 48 Combine like terms: 10 + 48 = 58 -4z = 58 Divide each side by '-4'. z = -14.5 Simplifying z = -14.5
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