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Simplifying 6 + -1(r + 2) = 5(3r + -4) Reorder the terms: 6 + -1(2 + r) = 5(3r + -4) 6 + (2 * -1 + r * -1) = 5(3r + -4) 6 + (-2 + -1r) = 5(3r + -4) Combine like terms: 6 + -2 = 4 4 + -1r = 5(3r + -4) Reorder the terms: 4 + -1r = 5(-4 + 3r) 4 + -1r = (-4 * 5 + 3r * 5) 4 + -1r = (-20 + 15r) Solving 4 + -1r = -20 + 15r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-15r' to each side of the equation. 4 + -1r + -15r = -20 + 15r + -15r Combine like terms: -1r + -15r = -16r 4 + -16r = -20 + 15r + -15r Combine like terms: 15r + -15r = 0 4 + -16r = -20 + 0 4 + -16r = -20 Add '-4' to each side of the equation. 4 + -4 + -16r = -20 + -4 Combine like terms: 4 + -4 = 0 0 + -16r = -20 + -4 -16r = -20 + -4 Combine like terms: -20 + -4 = -24 -16r = -24 Divide each side by '-16'. r = 1.5 Simplifying r = 1.5
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