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Simplifying 3r + -5 = 2(-4 + 2r) Reorder the terms: -5 + 3r = 2(-4 + 2r) -5 + 3r = (-4 * 2 + 2r * 2) -5 + 3r = (-8 + 4r) Solving -5 + 3r = -8 + 4r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-4r' to each side of the equation. -5 + 3r + -4r = -8 + 4r + -4r Combine like terms: 3r + -4r = -1r -5 + -1r = -8 + 4r + -4r Combine like terms: 4r + -4r = 0 -5 + -1r = -8 + 0 -5 + -1r = -8 Add '5' to each side of the equation. -5 + 5 + -1r = -8 + 5 Combine like terms: -5 + 5 = 0 0 + -1r = -8 + 5 -1r = -8 + 5 Combine like terms: -8 + 5 = -3 -1r = -3 Divide each side by '-1'. r = 3 Simplifying r = 3
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