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Simplifying 3(z + -4) + 3 = 14 + -1(z + 3) Reorder the terms: 3(-4 + z) + 3 = 14 + -1(z + 3) (-4 * 3 + z * 3) + 3 = 14 + -1(z + 3) (-12 + 3z) + 3 = 14 + -1(z + 3) Reorder the terms: -12 + 3 + 3z = 14 + -1(z + 3) Combine like terms: -12 + 3 = -9 -9 + 3z = 14 + -1(z + 3) Reorder the terms: -9 + 3z = 14 + -1(3 + z) -9 + 3z = 14 + (3 * -1 + z * -1) -9 + 3z = 14 + (-3 + -1z) Combine like terms: 14 + -3 = 11 -9 + 3z = 11 + -1z Solving -9 + 3z = 11 + -1z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add 'z' to each side of the equation. -9 + 3z + z = 11 + -1z + z Combine like terms: 3z + z = 4z -9 + 4z = 11 + -1z + z Combine like terms: -1z + z = 0 -9 + 4z = 11 + 0 -9 + 4z = 11 Add '9' to each side of the equation. -9 + 9 + 4z = 11 + 9 Combine like terms: -9 + 9 = 0 0 + 4z = 11 + 9 4z = 11 + 9 Combine like terms: 11 + 9 = 20 4z = 20 Divide each side by '4'. z = 5 Simplifying z = 5
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