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Simplifying 2(7 + -3z) + -2(2z + 9) = z + -10 (7 * 2 + -3z * 2) + -2(2z + 9) = z + -10 (14 + -6z) + -2(2z + 9) = z + -10 Reorder the terms: 14 + -6z + -2(9 + 2z) = z + -10 14 + -6z + (9 * -2 + 2z * -2) = z + -10 14 + -6z + (-18 + -4z) = z + -10 Reorder the terms: 14 + -18 + -6z + -4z = z + -10 Combine like terms: 14 + -18 = -4 -4 + -6z + -4z = z + -10 Combine like terms: -6z + -4z = -10z -4 + -10z = z + -10 Reorder the terms: -4 + -10z = -10 + z Solving -4 + -10z = -10 + 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. -4 + -10z + -1z = -10 + z + -1z Combine like terms: -10z + -1z = -11z -4 + -11z = -10 + z + -1z Combine like terms: z + -1z = 0 -4 + -11z = -10 + 0 -4 + -11z = -10 Add '4' to each side of the equation. -4 + 4 + -11z = -10 + 4 Combine like terms: -4 + 4 = 0 0 + -11z = -10 + 4 -11z = -10 + 4 Combine like terms: -10 + 4 = -6 -11z = -6 Divide each side by '-11'. z = 0.5454545455 Simplifying z = 0.5454545455
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