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Simplifying -4(z + 3) + 6 = 5x + 3 Reorder the terms: -4(3 + z) + 6 = 5x + 3 (3 * -4 + z * -4) + 6 = 5x + 3 (-12 + -4z) + 6 = 5x + 3 Reorder the terms: -12 + 6 + -4z = 5x + 3 Combine like terms: -12 + 6 = -6 -6 + -4z = 5x + 3 Reorder the terms: -6 + -4z = 3 + 5x Solving -6 + -4z = 3 + 5x 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 = 3 + 6 + 5x Combine like terms: -6 + 6 = 0 0 + -4z = 3 + 6 + 5x -4z = 3 + 6 + 5x Combine like terms: 3 + 6 = 9 -4z = 9 + 5x Divide each side by '-4'. z = -2.25 + -1.25x Simplifying z = -2.25 + -1.25x
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