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Simplifying 5(z + -7) = 2(2 + -2x) + -3 Reorder the terms: 5(-7 + z) = 2(2 + -2x) + -3 (-7 * 5 + z * 5) = 2(2 + -2x) + -3 (-35 + 5z) = 2(2 + -2x) + -3 -35 + 5z = (2 * 2 + -2x * 2) + -3 -35 + 5z = (4 + -4x) + -3 Reorder the terms: -35 + 5z = 4 + -3 + -4x Combine like terms: 4 + -3 = 1 -35 + 5z = 1 + -4x Solving -35 + 5z = 1 + -4x Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '35' to each side of the equation. -35 + 35 + 5z = 1 + 35 + -4x Combine like terms: -35 + 35 = 0 0 + 5z = 1 + 35 + -4x 5z = 1 + 35 + -4x Combine like terms: 1 + 35 = 36 5z = 36 + -4x Divide each side by '5'. z = 7.2 + -0.8x Simplifying z = 7.2 + -0.8x
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