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Simplifying 4z + -40 = 7(-2z + 2) Reorder the terms: -40 + 4z = 7(-2z + 2) Reorder the terms: -40 + 4z = 7(2 + -2z) -40 + 4z = (2 * 7 + -2z * 7) -40 + 4z = (14 + -14z) Solving -40 + 4z = 14 + -14z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '14z' to each side of the equation. -40 + 4z + 14z = 14 + -14z + 14z Combine like terms: 4z + 14z = 18z -40 + 18z = 14 + -14z + 14z Combine like terms: -14z + 14z = 0 -40 + 18z = 14 + 0 -40 + 18z = 14 Add '40' to each side of the equation. -40 + 40 + 18z = 14 + 40 Combine like terms: -40 + 40 = 0 0 + 18z = 14 + 40 18z = 14 + 40 Combine like terms: 14 + 40 = 54 18z = 54 Divide each side by '18'. z = 3 Simplifying z = 3
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