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Simplifying 3(z + -1(5z + 13) + 9) = 4z + 1 Reorder the terms: 3(z + -1(13 + 5z) + 9) = 4z + 1 3(z + (13 * -1 + 5z * -1) + 9) = 4z + 1 3(z + (-13 + -5z) + 9) = 4z + 1 Reorder the terms: 3(-13 + 9 + z + -5z) = 4z + 1 Combine like terms: -13 + 9 = -4 3(-4 + z + -5z) = 4z + 1 Combine like terms: z + -5z = -4z 3(-4 + -4z) = 4z + 1 (-4 * 3 + -4z * 3) = 4z + 1 (-12 + -12z) = 4z + 1 Reorder the terms: -12 + -12z = 1 + 4z Solving -12 + -12z = 1 + 4z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-4z' to each side of the equation. -12 + -12z + -4z = 1 + 4z + -4z Combine like terms: -12z + -4z = -16z -12 + -16z = 1 + 4z + -4z Combine like terms: 4z + -4z = 0 -12 + -16z = 1 + 0 -12 + -16z = 1 Add '12' to each side of the equation. -12 + 12 + -16z = 1 + 12 Combine like terms: -12 + 12 = 0 0 + -16z = 1 + 12 -16z = 1 + 12 Combine like terms: 1 + 12 = 13 -16z = 13 Divide each side by '-16'. z = -0.8125 Simplifying z = -0.8125
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