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