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Simplifying 4(3z + -2) + -3(z + -2) = 61 Reorder the terms: 4(-2 + 3z) + -3(z + -2) = 61 (-2 * 4 + 3z * 4) + -3(z + -2) = 61 (-8 + 12z) + -3(z + -2) = 61 Reorder the terms: -8 + 12z + -3(-2 + z) = 61 -8 + 12z + (-2 * -3 + z * -3) = 61 -8 + 12z + (6 + -3z) = 61 Reorder the terms: -8 + 6 + 12z + -3z = 61 Combine like terms: -8 + 6 = -2 -2 + 12z + -3z = 61 Combine like terms: 12z + -3z = 9z -2 + 9z = 61 Solving -2 + 9z = 61 Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '2' to each side of the equation. -2 + 2 + 9z = 61 + 2 Combine like terms: -2 + 2 = 0 0 + 9z = 61 + 2 9z = 61 + 2 Combine like terms: 61 + 2 = 63 9z = 63 Divide each side by '9'. z = 7 Simplifying z = 7
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