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Simplifying 3z + -18 = z + -1(12 + -4z) Reorder the terms: -18 + 3z = z + -1(12 + -4z) -18 + 3z = z + (12 * -1 + -4z * -1) -18 + 3z = z + (-12 + 4z) Reorder the terms: -18 + 3z = -12 + z + 4z Combine like terms: z + 4z = 5z -18 + 3z = -12 + 5z Solving -18 + 3z = -12 + 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. -18 + 3z + -5z = -12 + 5z + -5z Combine like terms: 3z + -5z = -2z -18 + -2z = -12 + 5z + -5z Combine like terms: 5z + -5z = 0 -18 + -2z = -12 + 0 -18 + -2z = -12 Add '18' to each side of the equation. -18 + 18 + -2z = -12 + 18 Combine like terms: -18 + 18 = 0 0 + -2z = -12 + 18 -2z = -12 + 18 Combine like terms: -12 + 18 = 6 -2z = 6 Divide each side by '-2'. z = -3 Simplifying z = -3
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