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Simplifying 10(2 + 4) + -3(2 + -2) = 2(2 + -2) + 4(z + -2) Combine like terms: 2 + 4 = 6 10(6) + -3(2 + -2) = 2(2 + -2) + 4(z + -2) Multiply 10 * 6 60 + -3(2 + -2) = 2(2 + -2) + 4(z + -2) Combine like terms: 2 + -2 = 0 60 + -3(0) = 2(2 + -2) + 4(z + -2) Multiply -3 * 0 60 + 0 = 2(2 + -2) + 4(z + -2) Anything times zero is zero. 60 + 0 = 2(2 + -2) + 4(z + -2) Combine like terms: 60 + 0 = 60 60 = 2(2 + -2) + 4(z + -2) Combine like terms: 2 + -2 = 0 60 = 2(0) + 4(z + -2) Multiply 2 * 0 60 = 0 + 4(z + -2) Anything times zero is zero. 60 = 0 + 4(z + -2) Reorder the terms: 60 = 0 + 4(-2 + z) 60 = 0 + (-2 * 4 + z * 4) 60 = 0 + (-8 + 4z) Combine like terms: 0 + -8 = -8 60 = -8 + 4z Solving 60 = -8 + 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. 60 + -4z = -8 + 4z + -4z Combine like terms: 4z + -4z = 0 60 + -4z = -8 + 0 60 + -4z = -8 Add '-60' to each side of the equation. 60 + -60 + -4z = -8 + -60 Combine like terms: 60 + -60 = 0 0 + -4z = -8 + -60 -4z = -8 + -60 Combine like terms: -8 + -60 = -68 -4z = -68 Divide each side by '-4'. z = 17 Simplifying z = 17
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