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Simplifying 4(z + -3) + -1z = 4(z + 1) + 20 Reorder the terms: 4(-3 + z) + -1z = 4(z + 1) + 20 (-3 * 4 + z * 4) + -1z = 4(z + 1) + 20 (-12 + 4z) + -1z = 4(z + 1) + 20 Combine like terms: 4z + -1z = 3z -12 + 3z = 4(z + 1) + 20 Reorder the terms: -12 + 3z = 4(1 + z) + 20 -12 + 3z = (1 * 4 + z * 4) + 20 -12 + 3z = (4 + 4z) + 20 Reorder the terms: -12 + 3z = 4 + 20 + 4z Combine like terms: 4 + 20 = 24 -12 + 3z = 24 + 4z Solving -12 + 3z = 24 + 4z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-4z' to each side of the equation. -12 + 3z + -4z = 24 + 4z + -4z Combine like terms: 3z + -4z = -1z -12 + -1z = 24 + 4z + -4z Combine like terms: 4z + -4z = 0 -12 + -1z = 24 + 0 -12 + -1z = 24 Add '12' to each side of the equation. -12 + 12 + -1z = 24 + 12 Combine like terms: -12 + 12 = 0 0 + -1z = 24 + 12 -1z = 24 + 12 Combine like terms: 24 + 12 = 36 -1z = 36 Divide each side by '-1'. z = -36 Simplifying z = -36
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