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Simplifying 3(z + -4) + 7 = 14 Reorder the terms: 3(-4 + z) + 7 = 14 (-4 * 3 + z * 3) + 7 = 14 (-12 + 3z) + 7 = 14 Reorder the terms: -12 + 7 + 3z = 14 Combine like terms: -12 + 7 = -5 -5 + 3z = 14 Solving -5 + 3z = 14 Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '5' to each side of the equation. -5 + 5 + 3z = 14 + 5 Combine like terms: -5 + 5 = 0 0 + 3z = 14 + 5 3z = 14 + 5 Combine like terms: 14 + 5 = 19 3z = 19 Divide each side by '3'. z = 6.333333333 Simplifying z = 6.333333333
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