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Simplifying -5(z + 1) = 3x + 33 Reorder the terms: -5(1 + z) = 3x + 33 (1 * -5 + z * -5) = 3x + 33 (-5 + -5z) = 3x + 33 Reorder the terms: -5 + -5z = 33 + 3x Solving -5 + -5z = 33 + 3x Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '5' to each side of the equation. -5 + 5 + -5z = 33 + 5 + 3x Combine like terms: -5 + 5 = 0 0 + -5z = 33 + 5 + 3x -5z = 33 + 5 + 3x Combine like terms: 33 + 5 = 38 -5z = 38 + 3x Divide each side by '-5'. z = -7.6 + -0.6x Simplifying z = -7.6 + -0.6x
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