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Simplifying 3(3z + -4) + -3(z + 1) = z + 5 Reorder the terms: 3(-4 + 3z) + -3(z + 1) = z + 5 (-4 * 3 + 3z * 3) + -3(z + 1) = z + 5 (-12 + 9z) + -3(z + 1) = z + 5 Reorder the terms: -12 + 9z + -3(1 + z) = z + 5 -12 + 9z + (1 * -3 + z * -3) = z + 5 -12 + 9z + (-3 + -3z) = z + 5 Reorder the terms: -12 + -3 + 9z + -3z = z + 5 Combine like terms: -12 + -3 = -15 -15 + 9z + -3z = z + 5 Combine like terms: 9z + -3z = 6z -15 + 6z = z + 5 Reorder the terms: -15 + 6z = 5 + z Solving -15 + 6z = 5 + z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-1z' to each side of the equation. -15 + 6z + -1z = 5 + z + -1z Combine like terms: 6z + -1z = 5z -15 + 5z = 5 + z + -1z Combine like terms: z + -1z = 0 -15 + 5z = 5 + 0 -15 + 5z = 5 Add '15' to each side of the equation. -15 + 15 + 5z = 5 + 15 Combine like terms: -15 + 15 = 0 0 + 5z = 5 + 15 5z = 5 + 15 Combine like terms: 5 + 15 = 20 5z = 20 Divide each side by '5'. z = 4 Simplifying z = 4
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