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Simplifying 10 + -4r = -2(3r + 5) + 7r Reorder the terms: 10 + -4r = -2(5 + 3r) + 7r 10 + -4r = (5 * -2 + 3r * -2) + 7r 10 + -4r = (-10 + -6r) + 7r Combine like terms: -6r + 7r = 1r 10 + -4r = -10 + 1r Solving 10 + -4r = -10 + 1r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-1r' to each side of the equation. 10 + -4r + -1r = -10 + 1r + -1r Combine like terms: -4r + -1r = -5r 10 + -5r = -10 + 1r + -1r Combine like terms: 1r + -1r = 0 10 + -5r = -10 + 0 10 + -5r = -10 Add '-10' to each side of the equation. 10 + -10 + -5r = -10 + -10 Combine like terms: 10 + -10 = 0 0 + -5r = -10 + -10 -5r = -10 + -10 Combine like terms: -10 + -10 = -20 -5r = -20 Divide each side by '-5'. r = 4 Simplifying r = 4
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