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Simplifying 3(2z + -6z) + -2(6z + 4) = 5(z + 8) Combine like terms: 2z + -6z = -4z 3(-4z) + -2(6z + 4) = 5(z + 8) Remove parenthesis around (-4z) 3 * -4z + -2(6z + 4) = 5(z + 8) Multiply 3 * -4 -12z + -2(6z + 4) = 5(z + 8) Reorder the terms: -12z + -2(4 + 6z) = 5(z + 8) -12z + (4 * -2 + 6z * -2) = 5(z + 8) -12z + (-8 + -12z) = 5(z + 8) Reorder the terms: -8 + -12z + -12z = 5(z + 8) Combine like terms: -12z + -12z = -24z -8 + -24z = 5(z + 8) Reorder the terms: -8 + -24z = 5(8 + z) -8 + -24z = (8 * 5 + z * 5) -8 + -24z = (40 + 5z) Solving -8 + -24z = 40 + 5z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-5z' to each side of the equation. -8 + -24z + -5z = 40 + 5z + -5z Combine like terms: -24z + -5z = -29z -8 + -29z = 40 + 5z + -5z Combine like terms: 5z + -5z = 0 -8 + -29z = 40 + 0 -8 + -29z = 40 Add '8' to each side of the equation. -8 + 8 + -29z = 40 + 8 Combine like terms: -8 + 8 = 0 0 + -29z = 40 + 8 -29z = 40 + 8 Combine like terms: 40 + 8 = 48 -29z = 48 Divide each side by '-29'. z = -1.655172414 Simplifying z = -1.655172414
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