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Simplifying 4z + -36 = 3(4z + -4) Reorder the terms: -36 + 4z = 3(4z + -4) Reorder the terms: -36 + 4z = 3(-4 + 4z) -36 + 4z = (-4 * 3 + 4z * 3) -36 + 4z = (-12 + 12z) Solving -36 + 4z = -12 + 12z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-12z' to each side of the equation. -36 + 4z + -12z = -12 + 12z + -12z Combine like terms: 4z + -12z = -8z -36 + -8z = -12 + 12z + -12z Combine like terms: 12z + -12z = 0 -36 + -8z = -12 + 0 -36 + -8z = -12 Add '36' to each side of the equation. -36 + 36 + -8z = -12 + 36 Combine like terms: -36 + 36 = 0 0 + -8z = -12 + 36 -8z = -12 + 36 Combine like terms: -12 + 36 = 24 -8z = 24 Divide each side by '-8'. z = -3 Simplifying z = -3
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