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Simplifying 4(z + 2) + -2z = 10 + 3(z + -3) Reorder the terms: 4(2 + z) + -2z = 10 + 3(z + -3) (2 * 4 + z * 4) + -2z = 10 + 3(z + -3) (8 + 4z) + -2z = 10 + 3(z + -3) Combine like terms: 4z + -2z = 2z 8 + 2z = 10 + 3(z + -3) Reorder the terms: 8 + 2z = 10 + 3(-3 + z) 8 + 2z = 10 + (-3 * 3 + z * 3) 8 + 2z = 10 + (-9 + 3z) Combine like terms: 10 + -9 = 1 8 + 2z = 1 + 3z Solving 8 + 2z = 1 + 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. 8 + 2z + -3z = 1 + 3z + -3z Combine like terms: 2z + -3z = -1z 8 + -1z = 1 + 3z + -3z Combine like terms: 3z + -3z = 0 8 + -1z = 1 + 0 8 + -1z = 1 Add '-8' to each side of the equation. 8 + -8 + -1z = 1 + -8 Combine like terms: 8 + -8 = 0 0 + -1z = 1 + -8 -1z = 1 + -8 Combine like terms: 1 + -8 = -7 -1z = -7 Divide each side by '-1'. z = 7 Simplifying z = 7
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