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Simplifying 2(8 + -3z) + -2(2z + 9) = z + -7 (8 * 2 + -3z * 2) + -2(2z + 9) = z + -7 (16 + -6z) + -2(2z + 9) = z + -7 Reorder the terms: 16 + -6z + -2(9 + 2z) = z + -7 16 + -6z + (9 * -2 + 2z * -2) = z + -7 16 + -6z + (-18 + -4z) = z + -7 Reorder the terms: 16 + -18 + -6z + -4z = z + -7 Combine like terms: 16 + -18 = -2 -2 + -6z + -4z = z + -7 Combine like terms: -6z + -4z = -10z -2 + -10z = z + -7 Reorder the terms: -2 + -10z = -7 + z Solving -2 + -10z = -7 + z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-1z' to each side of the equation. -2 + -10z + -1z = -7 + z + -1z Combine like terms: -10z + -1z = -11z -2 + -11z = -7 + z + -1z Combine like terms: z + -1z = 0 -2 + -11z = -7 + 0 -2 + -11z = -7 Add '2' to each side of the equation. -2 + 2 + -11z = -7 + 2 Combine like terms: -2 + 2 = 0 0 + -11z = -7 + 2 -11z = -7 + 2 Combine like terms: -7 + 2 = -5 -11z = -5 Divide each side by '-11'. z = 0.4545454545 Simplifying z = 0.4545454545
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