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Simplifying -4(r + 1) = 2(p + -4) + -6 Reorder the terms: -4(1 + r) = 2(p + -4) + -6 (1 * -4 + r * -4) = 2(p + -4) + -6 (-4 + -4r) = 2(p + -4) + -6 Reorder the terms: -4 + -4r = 2(-4 + p) + -6 -4 + -4r = (-4 * 2 + p * 2) + -6 -4 + -4r = (-8 + 2p) + -6 Reorder the terms: -4 + -4r = -8 + -6 + 2p Combine like terms: -8 + -6 = -14 -4 + -4r = -14 + 2p Solving -4 + -4r = -14 + 2p Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '4' to each side of the equation. -4 + 4 + -4r = -14 + 4 + 2p Combine like terms: -4 + 4 = 0 0 + -4r = -14 + 4 + 2p -4r = -14 + 4 + 2p Combine like terms: -14 + 4 = -10 -4r = -10 + 2p Divide each side by '-4'. r = 2.5 + -0.5p Simplifying r = 2.5 + -0.5p
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