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Simplifying 4(z + -3) = 7 + 2(x + 5) Reorder the terms: 4(-3 + z) = 7 + 2(x + 5) (-3 * 4 + z * 4) = 7 + 2(x + 5) (-12 + 4z) = 7 + 2(x + 5) Reorder the terms: -12 + 4z = 7 + 2(5 + x) -12 + 4z = 7 + (5 * 2 + x * 2) -12 + 4z = 7 + (10 + 2x) Combine like terms: 7 + 10 = 17 -12 + 4z = 17 + 2x Solving -12 + 4z = 17 + 2x Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '12' to each side of the equation. -12 + 12 + 4z = 17 + 12 + 2x Combine like terms: -12 + 12 = 0 0 + 4z = 17 + 12 + 2x 4z = 17 + 12 + 2x Combine like terms: 17 + 12 = 29 4z = 29 + 2x Divide each side by '4'. z = 7.25 + 0.5x Simplifying z = 7.25 + 0.5x
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