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