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Simplifying 10[z + -1(10z + 20) + 2] = 4(z + 2) Reorder the terms: 10[z + -1(20 + 10z) + 2] = 4(z + 2) 10[z + (20 * -1 + 10z * -1) + 2] = 4(z + 2) 10[z + (-20 + -10z) + 2] = 4(z + 2) Reorder the terms: 10[-20 + 2 + z + -10z] = 4(z + 2) Combine like terms: -20 + 2 = -18 10[-18 + z + -10z] = 4(z + 2) Combine like terms: z + -10z = -9z 10[-18 + -9z] = 4(z + 2) [-18 * 10 + -9z * 10] = 4(z + 2) [-180 + -90z] = 4(z + 2) Reorder the terms: -180 + -90z = 4(2 + z) -180 + -90z = (2 * 4 + z * 4) -180 + -90z = (8 + 4z) Solving -180 + -90z = 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. -180 + -90z + -4z = 8 + 4z + -4z Combine like terms: -90z + -4z = -94z -180 + -94z = 8 + 4z + -4z Combine like terms: 4z + -4z = 0 -180 + -94z = 8 + 0 -180 + -94z = 8 Add '180' to each side of the equation. -180 + 180 + -94z = 8 + 180 Combine like terms: -180 + 180 = 0 0 + -94z = 8 + 180 -94z = 8 + 180 Combine like terms: 8 + 180 = 188 -94z = 188 Divide each side by '-94'. z = -2 Simplifying z = -2
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