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Simplifying 4(3z + -4) = 4 + 2(3z + -7) Reorder the terms: 4(-4 + 3z) = 4 + 2(3z + -7) (-4 * 4 + 3z * 4) = 4 + 2(3z + -7) (-16 + 12z) = 4 + 2(3z + -7) Reorder the terms: -16 + 12z = 4 + 2(-7 + 3z) -16 + 12z = 4 + (-7 * 2 + 3z * 2) -16 + 12z = 4 + (-14 + 6z) Combine like terms: 4 + -14 = -10 -16 + 12z = -10 + 6z Solving -16 + 12z = -10 + 6z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-6z' to each side of the equation. -16 + 12z + -6z = -10 + 6z + -6z Combine like terms: 12z + -6z = 6z -16 + 6z = -10 + 6z + -6z Combine like terms: 6z + -6z = 0 -16 + 6z = -10 + 0 -16 + 6z = -10 Add '16' to each side of the equation. -16 + 16 + 6z = -10 + 16 Combine like terms: -16 + 16 = 0 0 + 6z = -10 + 16 6z = -10 + 16 Combine like terms: -10 + 16 = 6 6z = 6 Divide each side by '6'. z = 1 Simplifying z = 1
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