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Simplifying 4(15z + -8) = 8(5z + 6) Reorder the terms: 4(-8 + 15z) = 8(5z + 6) (-8 * 4 + 15z * 4) = 8(5z + 6) (-32 + 60z) = 8(5z + 6) Reorder the terms: -32 + 60z = 8(6 + 5z) -32 + 60z = (6 * 8 + 5z * 8) -32 + 60z = (48 + 40z) Solving -32 + 60z = 48 + 40z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-40z' to each side of the equation. -32 + 60z + -40z = 48 + 40z + -40z Combine like terms: 60z + -40z = 20z -32 + 20z = 48 + 40z + -40z Combine like terms: 40z + -40z = 0 -32 + 20z = 48 + 0 -32 + 20z = 48 Add '32' to each side of the equation. -32 + 32 + 20z = 48 + 32 Combine like terms: -32 + 32 = 0 0 + 20z = 48 + 32 20z = 48 + 32 Combine like terms: 48 + 32 = 80 20z = 80 Divide each side by '20'. z = 4 Simplifying z = 4
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