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Simplifying 6(z + -2) + 3 = 32 + 15 Reorder the terms: 6(-2 + z) + 3 = 32 + 15 (-2 * 6 + z * 6) + 3 = 32 + 15 (-12 + 6z) + 3 = 32 + 15 Reorder the terms: -12 + 3 + 6z = 32 + 15 Combine like terms: -12 + 3 = -9 -9 + 6z = 32 + 15 Combine like terms: 32 + 15 = 47 -9 + 6z = 47 Solving -9 + 6z = 47 Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '9' to each side of the equation. -9 + 9 + 6z = 47 + 9 Combine like terms: -9 + 9 = 0 0 + 6z = 47 + 9 6z = 47 + 9 Combine like terms: 47 + 9 = 56 6z = 56 Divide each side by '6'. z = 9.333333333 Simplifying z = 9.333333333
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