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Simplifying 6(z + -2) = 3z + -15 Reorder the terms: 6(-2 + z) = 3z + -15 (-2 * 6 + z * 6) = 3z + -15 (-12 + 6z) = 3z + -15 Reorder the terms: -12 + 6z = -15 + 3z Solving -12 + 6z = -15 + 3z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-3z' to each side of the equation. -12 + 6z + -3z = -15 + 3z + -3z Combine like terms: 6z + -3z = 3z -12 + 3z = -15 + 3z + -3z Combine like terms: 3z + -3z = 0 -12 + 3z = -15 + 0 -12 + 3z = -15 Add '12' to each side of the equation. -12 + 12 + 3z = -15 + 12 Combine like terms: -12 + 12 = 0 0 + 3z = -15 + 12 3z = -15 + 12 Combine like terms: -15 + 12 = -3 3z = -3 Divide each side by '3'. z = -1 Simplifying z = -1
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