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Simplifying 2(3 + -2z) + -3(2z + 7) = z + -21 (3 * 2 + -2z * 2) + -3(2z + 7) = z + -21 (6 + -4z) + -3(2z + 7) = z + -21 Reorder the terms: 6 + -4z + -3(7 + 2z) = z + -21 6 + -4z + (7 * -3 + 2z * -3) = z + -21 6 + -4z + (-21 + -6z) = z + -21 Reorder the terms: 6 + -21 + -4z + -6z = z + -21 Combine like terms: 6 + -21 = -15 -15 + -4z + -6z = z + -21 Combine like terms: -4z + -6z = -10z -15 + -10z = z + -21 Reorder the terms: -15 + -10z = -21 + z Solving -15 + -10z = -21 + 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. -15 + -10z + -1z = -21 + z + -1z Combine like terms: -10z + -1z = -11z -15 + -11z = -21 + z + -1z Combine like terms: z + -1z = 0 -15 + -11z = -21 + 0 -15 + -11z = -21 Add '15' to each side of the equation. -15 + 15 + -11z = -21 + 15 Combine like terms: -15 + 15 = 0 0 + -11z = -21 + 15 -11z = -21 + 15 Combine like terms: -21 + 15 = -6 -11z = -6 Divide each side by '-11'. z = 0.5454545455 Simplifying z = 0.5454545455
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