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Simplifying -20 = 5 + 3(z + -7) Reorder the terms: -20 = 5 + 3(-7 + z) -20 = 5 + (-7 * 3 + z * 3) -20 = 5 + (-21 + 3z) Combine like terms: 5 + -21 = -16 -20 = -16 + 3z Solving -20 = -16 + 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. -20 + -3z = -16 + 3z + -3z Combine like terms: 3z + -3z = 0 -20 + -3z = -16 + 0 -20 + -3z = -16 Add '20' to each side of the equation. -20 + 20 + -3z = -16 + 20 Combine like terms: -20 + 20 = 0 0 + -3z = -16 + 20 -3z = -16 + 20 Combine like terms: -16 + 20 = 4 -3z = 4 Divide each side by '-3'. z = -1.333333333 Simplifying z = -1.333333333
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