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Simplifying 24 = -5(3 + -7r) + 4(3r + -2) 24 = (3 * -5 + -7r * -5) + 4(3r + -2) 24 = (-15 + 35r) + 4(3r + -2) Reorder the terms: 24 = -15 + 35r + 4(-2 + 3r) 24 = -15 + 35r + (-2 * 4 + 3r * 4) 24 = -15 + 35r + (-8 + 12r) Reorder the terms: 24 = -15 + -8 + 35r + 12r Combine like terms: -15 + -8 = -23 24 = -23 + 35r + 12r Combine like terms: 35r + 12r = 47r 24 = -23 + 47r Solving 24 = -23 + 47r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-47r' to each side of the equation. 24 + -47r = -23 + 47r + -47r Combine like terms: 47r + -47r = 0 24 + -47r = -23 + 0 24 + -47r = -23 Add '-24' to each side of the equation. 24 + -24 + -47r = -23 + -24 Combine like terms: 24 + -24 = 0 0 + -47r = -23 + -24 -47r = -23 + -24 Combine like terms: -23 + -24 = -47 -47r = -47 Divide each side by '-47'. r = 1 Simplifying r = 1
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