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Simplifying 7 + -1(2z + -7) = -4(z + 1) + 3 Reorder the terms: 7 + -1(-7 + 2z) = -4(z + 1) + 3 7 + (-7 * -1 + 2z * -1) = -4(z + 1) + 3 7 + (7 + -2z) = -4(z + 1) + 3 Combine like terms: 7 + 7 = 14 14 + -2z = -4(z + 1) + 3 Reorder the terms: 14 + -2z = -4(1 + z) + 3 14 + -2z = (1 * -4 + z * -4) + 3 14 + -2z = (-4 + -4z) + 3 Reorder the terms: 14 + -2z = -4 + 3 + -4z Combine like terms: -4 + 3 = -1 14 + -2z = -1 + -4z Solving 14 + -2z = -1 + -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. 14 + -2z + 4z = -1 + -4z + 4z Combine like terms: -2z + 4z = 2z 14 + 2z = -1 + -4z + 4z Combine like terms: -4z + 4z = 0 14 + 2z = -1 + 0 14 + 2z = -1 Add '-14' to each side of the equation. 14 + -14 + 2z = -1 + -14 Combine like terms: 14 + -14 = 0 0 + 2z = -1 + -14 2z = -1 + -14 Combine like terms: -1 + -14 = -15 2z = -15 Divide each side by '2'. z = -7.5 Simplifying z = -7.5
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