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Simplifying 15z + -5 = 3(6z + -2) + 1 Reorder the terms: -5 + 15z = 3(6z + -2) + 1 Reorder the terms: -5 + 15z = 3(-2 + 6z) + 1 -5 + 15z = (-2 * 3 + 6z * 3) + 1 -5 + 15z = (-6 + 18z) + 1 Reorder the terms: -5 + 15z = -6 + 1 + 18z Combine like terms: -6 + 1 = -5 -5 + 15z = -5 + 18z Add '5' to each side of the equation. -5 + 5 + 15z = -5 + 5 + 18z Combine like terms: -5 + 5 = 0 0 + 15z = -5 + 5 + 18z 15z = -5 + 5 + 18z Combine like terms: -5 + 5 = 0 15z = 0 + 18z 15z = 18z Solving 15z = 18z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-18z' to each side of the equation. 15z + -18z = 18z + -18z Combine like terms: 15z + -18z = -3z -3z = 18z + -18z Combine like terms: 18z + -18z = 0 -3z = 0 Divide each side by '-3'. z = 0 Simplifying z = 0
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