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Simplifying 5(6z + -1) + -2(z + 7) = 2(z + 1) Reorder the terms: 5(-1 + 6z) + -2(z + 7) = 2(z + 1) (-1 * 5 + 6z * 5) + -2(z + 7) = 2(z + 1) (-5 + 30z) + -2(z + 7) = 2(z + 1) Reorder the terms: -5 + 30z + -2(7 + z) = 2(z + 1) -5 + 30z + (7 * -2 + z * -2) = 2(z + 1) -5 + 30z + (-14 + -2z) = 2(z + 1) Reorder the terms: -5 + -14 + 30z + -2z = 2(z + 1) Combine like terms: -5 + -14 = -19 -19 + 30z + -2z = 2(z + 1) Combine like terms: 30z + -2z = 28z -19 + 28z = 2(z + 1) Reorder the terms: -19 + 28z = 2(1 + z) -19 + 28z = (1 * 2 + z * 2) -19 + 28z = (2 + 2z) Solving -19 + 28z = 2 + 2z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-2z' to each side of the equation. -19 + 28z + -2z = 2 + 2z + -2z Combine like terms: 28z + -2z = 26z -19 + 26z = 2 + 2z + -2z Combine like terms: 2z + -2z = 0 -19 + 26z = 2 + 0 -19 + 26z = 2 Add '19' to each side of the equation. -19 + 19 + 26z = 2 + 19 Combine like terms: -19 + 19 = 0 0 + 26z = 2 + 19 26z = 2 + 19 Combine like terms: 2 + 19 = 21 26z = 21 Divide each side by '26'. z = 0.8076923077 Simplifying z = 0.8076923077
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