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Simplifying 2r + 2 = 3(r + -4) Reorder the terms: 2 + 2r = 3(r + -4) Reorder the terms: 2 + 2r = 3(-4 + r) 2 + 2r = (-4 * 3 + r * 3) 2 + 2r = (-12 + 3r) Solving 2 + 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. 2 + 2r + -3r = -12 + 3r + -3r Combine like terms: 2r + -3r = -1r 2 + -1r = -12 + 3r + -3r Combine like terms: 3r + -3r = 0 2 + -1r = -12 + 0 2 + -1r = -12 Add '-2' to each side of the equation. 2 + -2 + -1r = -12 + -2 Combine like terms: 2 + -2 = 0 0 + -1r = -12 + -2 -1r = -12 + -2 Combine like terms: -12 + -2 = -14 -1r = -14 Divide each side by '-1'. r = 14 Simplifying r = 14
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