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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 = -6 3z = -6 Divide each side by '3'. z = -2 Simplifying z = -2
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