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Simplifying 2r + 3(r + -4) = 2(r + -3) Reorder the terms: 2r + 3(-4 + r) = 2(r + -3) 2r + (-4 * 3 + r * 3) = 2(r + -3) 2r + (-12 + 3r) = 2(r + -3) Reorder the terms: -12 + 2r + 3r = 2(r + -3) Combine like terms: 2r + 3r = 5r -12 + 5r = 2(r + -3) Reorder the terms: -12 + 5r = 2(-3 + r) -12 + 5r = (-3 * 2 + r * 2) -12 + 5r = (-6 + 2r) Solving -12 + 5r = -6 + 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. -12 + 5r + -2r = -6 + 2r + -2r Combine like terms: 5r + -2r = 3r -12 + 3r = -6 + 2r + -2r Combine like terms: 2r + -2r = 0 -12 + 3r = -6 + 0 -12 + 3r = -6 Add '12' to each side of the equation. -12 + 12 + 3r = -6 + 12 Combine like terms: -12 + 12 = 0 0 + 3r = -6 + 12 3r = -6 + 12 Combine like terms: -6 + 12 = 6 3r = 6 Divide each side by '3'. r = 2 Simplifying r = 2
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