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Simplifying 6(z + 8) = -10z + 15 + 4 Reorder the terms: 6(8 + z) = -10z + 15 + 4 (8 * 6 + z * 6) = -10z + 15 + 4 (48 + 6z) = -10z + 15 + 4 Reorder the terms: 48 + 6z = 15 + 4 + -10z Combine like terms: 15 + 4 = 19 48 + 6z = 19 + -10z Solving 48 + 6z = 19 + -10z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '10z' to each side of the equation. 48 + 6z + 10z = 19 + -10z + 10z Combine like terms: 6z + 10z = 16z 48 + 16z = 19 + -10z + 10z Combine like terms: -10z + 10z = 0 48 + 16z = 19 + 0 48 + 16z = 19 Add '-48' to each side of the equation. 48 + -48 + 16z = 19 + -48 Combine like terms: 48 + -48 = 0 0 + 16z = 19 + -48 16z = 19 + -48 Combine like terms: 19 + -48 = -29 16z = -29 Divide each side by '16'. z = -1.8125 Simplifying z = -1.8125
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