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Simplifying 5(2z + -1) + 7 = 7z + -4(z + 3) Reorder the terms: 5(-1 + 2z) + 7 = 7z + -4(z + 3) (-1 * 5 + 2z * 5) + 7 = 7z + -4(z + 3) (-5 + 10z) + 7 = 7z + -4(z + 3) Reorder the terms: -5 + 7 + 10z = 7z + -4(z + 3) Combine like terms: -5 + 7 = 2 2 + 10z = 7z + -4(z + 3) Reorder the terms: 2 + 10z = 7z + -4(3 + z) 2 + 10z = 7z + (3 * -4 + z * -4) 2 + 10z = 7z + (-12 + -4z) Reorder the terms: 2 + 10z = -12 + 7z + -4z Combine like terms: 7z + -4z = 3z 2 + 10z = -12 + 3z Solving 2 + 10z = -12 + 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. 2 + 10z + -3z = -12 + 3z + -3z Combine like terms: 10z + -3z = 7z 2 + 7z = -12 + 3z + -3z Combine like terms: 3z + -3z = 0 2 + 7z = -12 + 0 2 + 7z = -12 Add '-2' to each side of the equation. 2 + -2 + 7z = -12 + -2 Combine like terms: 2 + -2 = 0 0 + 7z = -12 + -2 7z = -12 + -2 Combine like terms: -12 + -2 = -14 7z = -14 Divide each side by '7'. z = -2 Simplifying z = -2
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