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Simplifying 5(r + -1) = 2(x + -4) + -6 Reorder the terms: 5(-1 + r) = 2(x + -4) + -6 (-1 * 5 + r * 5) = 2(x + -4) + -6 (-5 + 5r) = 2(x + -4) + -6 Reorder the terms: -5 + 5r = 2(-4 + x) + -6 -5 + 5r = (-4 * 2 + x * 2) + -6 -5 + 5r = (-8 + 2x) + -6 Reorder the terms: -5 + 5r = -8 + -6 + 2x Combine like terms: -8 + -6 = -14 -5 + 5r = -14 + 2x Solving -5 + 5r = -14 + 2x Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '5' to each side of the equation. -5 + 5 + 5r = -14 + 5 + 2x Combine like terms: -5 + 5 = 0 0 + 5r = -14 + 5 + 2x 5r = -14 + 5 + 2x Combine like terms: -14 + 5 = -9 5r = -9 + 2x Divide each side by '5'. r = -1.8 + 0.4x Simplifying r = -1.8 + 0.4x
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