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Simplifying (z + -3) + 3(z + -4) = 0 Reorder the terms: (-3 + z) + 3(z + -4) = 0 Remove parenthesis around (-3 + z) -3 + z + 3(z + -4) = 0 Reorder the terms: -3 + z + 3(-4 + z) = 0 -3 + z + (-4 * 3 + z * 3) = 0 -3 + z + (-12 + 3z) = 0 Reorder the terms: -3 + -12 + z + 3z = 0 Combine like terms: -3 + -12 = -15 -15 + z + 3z = 0 Combine like terms: z + 3z = 4z -15 + 4z = 0 Solving -15 + 4z = 0 Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '15' to each side of the equation. -15 + 15 + 4z = 0 + 15 Combine like terms: -15 + 15 = 0 0 + 4z = 0 + 15 4z = 0 + 15 Combine like terms: 0 + 15 = 15 4z = 15 Divide each side by '4'. z = 3.75 Simplifying z = 3.75
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