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Simplifying 7 + -1(4z + -14) = 7z + -2(6z + -4) Reorder the terms: 7 + -1(-14 + 4z) = 7z + -2(6z + -4) 7 + (-14 * -1 + 4z * -1) = 7z + -2(6z + -4) 7 + (14 + -4z) = 7z + -2(6z + -4) Combine like terms: 7 + 14 = 21 21 + -4z = 7z + -2(6z + -4) Reorder the terms: 21 + -4z = 7z + -2(-4 + 6z) 21 + -4z = 7z + (-4 * -2 + 6z * -2) 21 + -4z = 7z + (8 + -12z) Reorder the terms: 21 + -4z = 8 + 7z + -12z Combine like terms: 7z + -12z = -5z 21 + -4z = 8 + -5z Solving 21 + -4z = 8 + -5z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '5z' to each side of the equation. 21 + -4z + 5z = 8 + -5z + 5z Combine like terms: -4z + 5z = 1z 21 + 1z = 8 + -5z + 5z Combine like terms: -5z + 5z = 0 21 + 1z = 8 + 0 21 + 1z = 8 Add '-21' to each side of the equation. 21 + -21 + 1z = 8 + -21 Combine like terms: 21 + -21 = 0 0 + 1z = 8 + -21 1z = 8 + -21 Combine like terms: 8 + -21 = -13 1z = -13 Divide each side by '1'. z = -13 Simplifying z = -13
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