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Simplifying -4z + 6 = 3(x + -2) + 2 Reorder the terms: 6 + -4z = 3(x + -2) + 2 Reorder the terms: 6 + -4z = 3(-2 + x) + 2 6 + -4z = (-2 * 3 + x * 3) + 2 6 + -4z = (-6 + 3x) + 2 Reorder the terms: 6 + -4z = -6 + 2 + 3x Combine like terms: -6 + 2 = -4 6 + -4z = -4 + 3x Solving 6 + -4z = -4 + 3x Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + -6 + -4z = -4 + -6 + 3x Combine like terms: 6 + -6 = 0 0 + -4z = -4 + -6 + 3x -4z = -4 + -6 + 3x Combine like terms: -4 + -6 = -10 -4z = -10 + 3x Divide each side by '-4'. z = 2.5 + -0.75x Simplifying z = 2.5 + -0.75x
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