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Simplifying z + -2(z + 1) = 2x + 3(x + -2) Reorder the terms: z + -2(1 + z) = 2x + 3(x + -2) z + (1 * -2 + z * -2) = 2x + 3(x + -2) z + (-2 + -2z) = 2x + 3(x + -2) Reorder the terms: -2 + z + -2z = 2x + 3(x + -2) Combine like terms: z + -2z = -1z -2 + -1z = 2x + 3(x + -2) Reorder the terms: -2 + -1z = 2x + 3(-2 + x) -2 + -1z = 2x + (-2 * 3 + x * 3) -2 + -1z = 2x + (-6 + 3x) Reorder the terms: -2 + -1z = -6 + 2x + 3x Combine like terms: 2x + 3x = 5x -2 + -1z = -6 + 5x Solving -2 + -1z = -6 + 5x Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '2' to each side of the equation. -2 + 2 + -1z = -6 + 2 + 5x Combine like terms: -2 + 2 = 0 0 + -1z = -6 + 2 + 5x -1z = -6 + 2 + 5x Combine like terms: -6 + 2 = -4 -1z = -4 + 5x Divide each side by '-1'. z = 4 + -5x Simplifying z = 4 + -5x
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