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Simplifying 2(r + -8) + 3 = 3(r + 2) + -18 Reorder the terms: 2(-8 + r) + 3 = 3(r + 2) + -18 (-8 * 2 + r * 2) + 3 = 3(r + 2) + -18 (-16 + 2r) + 3 = 3(r + 2) + -18 Reorder the terms: -16 + 3 + 2r = 3(r + 2) + -18 Combine like terms: -16 + 3 = -13 -13 + 2r = 3(r + 2) + -18 Reorder the terms: -13 + 2r = 3(2 + r) + -18 -13 + 2r = (2 * 3 + r * 3) + -18 -13 + 2r = (6 + 3r) + -18 Reorder the terms: -13 + 2r = 6 + -18 + 3r Combine like terms: 6 + -18 = -12 -13 + 2r = -12 + 3r Solving -13 + 2r = -12 + 3r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-3r' to each side of the equation. -13 + 2r + -3r = -12 + 3r + -3r Combine like terms: 2r + -3r = -1r -13 + -1r = -12 + 3r + -3r Combine like terms: 3r + -3r = 0 -13 + -1r = -12 + 0 -13 + -1r = -12 Add '13' to each side of the equation. -13 + 13 + -1r = -12 + 13 Combine like terms: -13 + 13 = 0 0 + -1r = -12 + 13 -1r = -12 + 13 Combine like terms: -12 + 13 = 1 -1r = 1 Divide each side by '-1'. r = -1 Simplifying r = -1
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