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Simplifying 3(z + 7) + -1(4z + -8) = -2z Reorder the terms: 3(7 + z) + -1(4z + -8) = -2z (7 * 3 + z * 3) + -1(4z + -8) = -2z (21 + 3z) + -1(4z + -8) = -2z Reorder the terms: 21 + 3z + -1(-8 + 4z) = -2z 21 + 3z + (-8 * -1 + 4z * -1) = -2z 21 + 3z + (8 + -4z) = -2z Reorder the terms: 21 + 8 + 3z + -4z = -2z Combine like terms: 21 + 8 = 29 29 + 3z + -4z = -2z Combine like terms: 3z + -4z = -1z 29 + -1z = -2z Solving 29 + -1z = -2z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '2z' to each side of the equation. 29 + -1z + 2z = -2z + 2z Combine like terms: -1z + 2z = 1z 29 + 1z = -2z + 2z Combine like terms: -2z + 2z = 0 29 + 1z = 0 Add '-29' to each side of the equation. 29 + -29 + 1z = 0 + -29 Combine like terms: 29 + -29 = 0 0 + 1z = 0 + -29 1z = 0 + -29 Combine like terms: 0 + -29 = -29 1z = -29 Divide each side by '1'. z = -29 Simplifying z = -29
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