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Simplifying 4(z + -3) + -1(1 + -5z) = 8z Reorder the terms: 4(-3 + z) + -1(1 + -5z) = 8z (-3 * 4 + z * 4) + -1(1 + -5z) = 8z (-12 + 4z) + -1(1 + -5z) = 8z -12 + 4z + (1 * -1 + -5z * -1) = 8z -12 + 4z + (-1 + 5z) = 8z Reorder the terms: -12 + -1 + 4z + 5z = 8z Combine like terms: -12 + -1 = -13 -13 + 4z + 5z = 8z Combine like terms: 4z + 5z = 9z -13 + 9z = 8z Solving -13 + 9z = 8z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-8z' to each side of the equation. -13 + 9z + -8z = 8z + -8z Combine like terms: 9z + -8z = 1z -13 + 1z = 8z + -8z Combine like terms: 8z + -8z = 0 -13 + 1z = 0 Add '13' to each side of the equation. -13 + 13 + 1z = 0 + 13 Combine like terms: -13 + 13 = 0 0 + 1z = 0 + 13 1z = 0 + 13 Combine like terms: 0 + 13 = 13 1z = 13 Divide each side by '1'. z = 13 Simplifying z = 13
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