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Simplifying 6(z + -2) + 3 = 3z + 15 Reorder the terms: 6(-2 + z) + 3 = 3z + 15 (-2 * 6 + z * 6) + 3 = 3z + 15 (-12 + 6z) + 3 = 3z + 15 Reorder the terms: -12 + 3 + 6z = 3z + 15 Combine like terms: -12 + 3 = -9 -9 + 6z = 3z + 15 Reorder the terms: -9 + 6z = 15 + 3z Solving -9 + 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. -9 + 6z + -3z = 15 + 3z + -3z Combine like terms: 6z + -3z = 3z -9 + 3z = 15 + 3z + -3z Combine like terms: 3z + -3z = 0 -9 + 3z = 15 + 0 -9 + 3z = 15 Add '9' to each side of the equation. -9 + 9 + 3z = 15 + 9 Combine like terms: -9 + 9 = 0 0 + 3z = 15 + 9 3z = 15 + 9 Combine like terms: 15 + 9 = 24 3z = 24 Divide each side by '3'. z = 8 Simplifying z = 8
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