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Simplifying 10[z + -1(7z + 63) + 3] = 5(z + 10) Reorder the terms: 10[z + -1(63 + 7z) + 3] = 5(z + 10) 10[z + (63 * -1 + 7z * -1) + 3] = 5(z + 10) 10[z + (-63 + -7z) + 3] = 5(z + 10) Reorder the terms: 10[-63 + 3 + z + -7z] = 5(z + 10) Combine like terms: -63 + 3 = -60 10[-60 + z + -7z] = 5(z + 10) Combine like terms: z + -7z = -6z 10[-60 + -6z] = 5(z + 10) [-60 * 10 + -6z * 10] = 5(z + 10) [-600 + -60z] = 5(z + 10) Reorder the terms: -600 + -60z = 5(10 + z) -600 + -60z = (10 * 5 + z * 5) -600 + -60z = (50 + 5z) Solving -600 + -60z = 50 + 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. -600 + -60z + -5z = 50 + 5z + -5z Combine like terms: -60z + -5z = -65z -600 + -65z = 50 + 5z + -5z Combine like terms: 5z + -5z = 0 -600 + -65z = 50 + 0 -600 + -65z = 50 Add '600' to each side of the equation. -600 + 600 + -65z = 50 + 600 Combine like terms: -600 + 600 = 0 0 + -65z = 50 + 600 -65z = 50 + 600 Combine like terms: 50 + 600 = 650 -65z = 650 Divide each side by '-65'. z = -10 Simplifying z = -10
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