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Simplifying -6 + 18z = 6(4z + 15) Reorder the terms: -6 + 18z = 6(15 + 4z) -6 + 18z = (15 * 6 + 4z * 6) -6 + 18z = (90 + 24z) Solving -6 + 18z = 90 + 24z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-24z' to each side of the equation. -6 + 18z + -24z = 90 + 24z + -24z Combine like terms: 18z + -24z = -6z -6 + -6z = 90 + 24z + -24z Combine like terms: 24z + -24z = 0 -6 + -6z = 90 + 0 -6 + -6z = 90 Add '6' to each side of the equation. -6 + 6 + -6z = 90 + 6 Combine like terms: -6 + 6 = 0 0 + -6z = 90 + 6 -6z = 90 + 6 Combine like terms: 90 + 6 = 96 -6z = 96 Divide each side by '-6'. z = -16 Simplifying z = -16
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