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Simplifying 4(r + 3) + -2r = 3(r + -3) Reorder the terms: 4(3 + r) + -2r = 3(r + -3) (3 * 4 + r * 4) + -2r = 3(r + -3) (12 + 4r) + -2r = 3(r + -3) Combine like terms: 4r + -2r = 2r 12 + 2r = 3(r + -3) Reorder the terms: 12 + 2r = 3(-3 + r) 12 + 2r = (-3 * 3 + r * 3) 12 + 2r = (-9 + 3r) Solving 12 + 2r = -9 + 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. 12 + 2r + -3r = -9 + 3r + -3r Combine like terms: 2r + -3r = -1r 12 + -1r = -9 + 3r + -3r Combine like terms: 3r + -3r = 0 12 + -1r = -9 + 0 12 + -1r = -9 Add '-12' to each side of the equation. 12 + -12 + -1r = -9 + -12 Combine like terms: 12 + -12 = 0 0 + -1r = -9 + -12 -1r = -9 + -12 Combine like terms: -9 + -12 = -21 -1r = -21 Divide each side by '-1'. r = 21 Simplifying r = 21
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