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Simplifying -7 + 2(z + 3) = -5(6z + -1) + 3 Reorder the terms: -7 + 2(3 + z) = -5(6z + -1) + 3 -7 + (3 * 2 + z * 2) = -5(6z + -1) + 3 -7 + (6 + 2z) = -5(6z + -1) + 3 Combine like terms: -7 + 6 = -1 -1 + 2z = -5(6z + -1) + 3 Reorder the terms: -1 + 2z = -5(-1 + 6z) + 3 -1 + 2z = (-1 * -5 + 6z * -5) + 3 -1 + 2z = (5 + -30z) + 3 Reorder the terms: -1 + 2z = 5 + 3 + -30z Combine like terms: 5 + 3 = 8 -1 + 2z = 8 + -30z Solving -1 + 2z = 8 + -30z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '30z' to each side of the equation. -1 + 2z + 30z = 8 + -30z + 30z Combine like terms: 2z + 30z = 32z -1 + 32z = 8 + -30z + 30z Combine like terms: -30z + 30z = 0 -1 + 32z = 8 + 0 -1 + 32z = 8 Add '1' to each side of the equation. -1 + 1 + 32z = 8 + 1 Combine like terms: -1 + 1 = 0 0 + 32z = 8 + 1 32z = 8 + 1 Combine like terms: 8 + 1 = 9 32z = 9 Divide each side by '32'. z = 0.28125 Simplifying z = 0.28125
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