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Simplifying 14 + 4(z + -3) = 3z + 1 Reorder the terms: 14 + 4(-3 + z) = 3z + 1 14 + (-3 * 4 + z * 4) = 3z + 1 14 + (-12 + 4z) = 3z + 1 Combine like terms: 14 + -12 = 2 2 + 4z = 3z + 1 Reorder the terms: 2 + 4z = 1 + 3z Solving 2 + 4z = 1 + 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. 2 + 4z + -3z = 1 + 3z + -3z Combine like terms: 4z + -3z = 1z 2 + 1z = 1 + 3z + -3z Combine like terms: 3z + -3z = 0 2 + 1z = 1 + 0 2 + 1z = 1 Add '-2' to each side of the equation. 2 + -2 + 1z = 1 + -2 Combine like terms: 2 + -2 = 0 0 + 1z = 1 + -2 1z = 1 + -2 Combine like terms: 1 + -2 = -1 1z = -1 Divide each side by '1'. z = -1 Simplifying z = -1
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