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Simplifying 29 + -5z = -3(6z + 7) Reorder the terms: 29 + -5z = -3(7 + 6z) 29 + -5z = (7 * -3 + 6z * -3) 29 + -5z = (-21 + -18z) Solving 29 + -5z = -21 + -18z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '18z' to each side of the equation. 29 + -5z + 18z = -21 + -18z + 18z Combine like terms: -5z + 18z = 13z 29 + 13z = -21 + -18z + 18z Combine like terms: -18z + 18z = 0 29 + 13z = -21 + 0 29 + 13z = -21 Add '-29' to each side of the equation. 29 + -29 + 13z = -21 + -29 Combine like terms: 29 + -29 = 0 0 + 13z = -21 + -29 13z = -21 + -29 Combine like terms: -21 + -29 = -50 13z = -50 Divide each side by '13'. z = -3.846153846 Simplifying z = -3.846153846
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