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