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Simplifying 3(z + -5) = 5z + 1 Reorder the terms: 3(-5 + z) = 5z + 1 (-5 * 3 + z * 3) = 5z + 1 (-15 + 3z) = 5z + 1 Reorder the terms: -15 + 3z = 1 + 5z Solving -15 + 3z = 1 + 5z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-5z' to each side of the equation. -15 + 3z + -5z = 1 + 5z + -5z Combine like terms: 3z + -5z = -2z -15 + -2z = 1 + 5z + -5z Combine like terms: 5z + -5z = 0 -15 + -2z = 1 + 0 -15 + -2z = 1 Add '15' to each side of the equation. -15 + 15 + -2z = 1 + 15 Combine like terms: -15 + 15 = 0 0 + -2z = 1 + 15 -2z = 1 + 15 Combine like terms: 1 + 15 = 16 -2z = 16 Divide each side by '-2'. z = -8 Simplifying z = -8
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