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Simplifying 2(3z + -5) + 4(z + 6) = 2(3x + 2) + 3x + -15 Reorder the terms: 2(-5 + 3z) + 4(z + 6) = 2(3x + 2) + 3x + -15 (-5 * 2 + 3z * 2) + 4(z + 6) = 2(3x + 2) + 3x + -15 (-10 + 6z) + 4(z + 6) = 2(3x + 2) + 3x + -15 Reorder the terms: -10 + 6z + 4(6 + z) = 2(3x + 2) + 3x + -15 -10 + 6z + (6 * 4 + z * 4) = 2(3x + 2) + 3x + -15 -10 + 6z + (24 + 4z) = 2(3x + 2) + 3x + -15 Reorder the terms: -10 + 24 + 6z + 4z = 2(3x + 2) + 3x + -15 Combine like terms: -10 + 24 = 14 14 + 6z + 4z = 2(3x + 2) + 3x + -15 Combine like terms: 6z + 4z = 10z 14 + 10z = 2(3x + 2) + 3x + -15 Reorder the terms: 14 + 10z = 2(2 + 3x) + 3x + -15 14 + 10z = (2 * 2 + 3x * 2) + 3x + -15 14 + 10z = (4 + 6x) + 3x + -15 Reorder the terms: 14 + 10z = 4 + -15 + 6x + 3x Combine like terms: 4 + -15 = -11 14 + 10z = -11 + 6x + 3x Combine like terms: 6x + 3x = 9x 14 + 10z = -11 + 9x Solving 14 + 10z = -11 + 9x Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-14' to each side of the equation. 14 + -14 + 10z = -11 + -14 + 9x Combine like terms: 14 + -14 = 0 0 + 10z = -11 + -14 + 9x 10z = -11 + -14 + 9x Combine like terms: -11 + -14 = -25 10z = -25 + 9x Divide each side by '10'. z = -2.5 + 0.9x Simplifying z = -2.5 + 0.9x
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