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Simplifying 5(3z + -1) + -5(2 + 4) = 2(x + 1) Reorder the terms: 5(-1 + 3z) + -5(2 + 4) = 2(x + 1) (-1 * 5 + 3z * 5) + -5(2 + 4) = 2(x + 1) (-5 + 15z) + -5(2 + 4) = 2(x + 1) Combine like terms: 2 + 4 = 6 -5 + 15z + -5(6) = 2(x + 1) Multiply -5 * 6 -5 + 15z + -30 = 2(x + 1) Reorder the terms: -5 + -30 + 15z = 2(x + 1) Combine like terms: -5 + -30 = -35 -35 + 15z = 2(x + 1) Reorder the terms: -35 + 15z = 2(1 + x) -35 + 15z = (1 * 2 + x * 2) -35 + 15z = (2 + 2x) Solving -35 + 15z = 2 + 2x Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '35' to each side of the equation. -35 + 35 + 15z = 2 + 35 + 2x Combine like terms: -35 + 35 = 0 0 + 15z = 2 + 35 + 2x 15z = 2 + 35 + 2x Combine like terms: 2 + 35 = 37 15z = 37 + 2x Divide each side by '15'. z = 2.466666667 + 0.1333333333x Simplifying z = 2.466666667 + 0.1333333333x
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