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Simplifying 2 + 2(-7z + -6) = -8(-4z + -5) + -9 Reorder the terms: 2 + 2(-6 + -7z) = -8(-4z + -5) + -9 2 + (-6 * 2 + -7z * 2) = -8(-4z + -5) + -9 2 + (-12 + -14z) = -8(-4z + -5) + -9 Combine like terms: 2 + -12 = -10 -10 + -14z = -8(-4z + -5) + -9 Reorder the terms: -10 + -14z = -8(-5 + -4z) + -9 -10 + -14z = (-5 * -8 + -4z * -8) + -9 -10 + -14z = (40 + 32z) + -9 Reorder the terms: -10 + -14z = 40 + -9 + 32z Combine like terms: 40 + -9 = 31 -10 + -14z = 31 + 32z Solving -10 + -14z = 31 + 32z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-32z' to each side of the equation. -10 + -14z + -32z = 31 + 32z + -32z Combine like terms: -14z + -32z = -46z -10 + -46z = 31 + 32z + -32z Combine like terms: 32z + -32z = 0 -10 + -46z = 31 + 0 -10 + -46z = 31 Add '10' to each side of the equation. -10 + 10 + -46z = 31 + 10 Combine like terms: -10 + 10 = 0 0 + -46z = 31 + 10 -46z = 31 + 10 Combine like terms: 31 + 10 = 41 -46z = 41 Divide each side by '-46'. z = -0.8913043478 Simplifying z = -0.8913043478
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