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Simplifying 5(3r + -2) = 4 + 12r Reorder the terms: 5(-2 + 3r) = 4 + 12r (-2 * 5 + 3r * 5) = 4 + 12r (-10 + 15r) = 4 + 12r Solving -10 + 15r = 4 + 12r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-12r' to each side of the equation. -10 + 15r + -12r = 4 + 12r + -12r Combine like terms: 15r + -12r = 3r -10 + 3r = 4 + 12r + -12r Combine like terms: 12r + -12r = 0 -10 + 3r = 4 + 0 -10 + 3r = 4 Add '10' to each side of the equation. -10 + 10 + 3r = 4 + 10 Combine like terms: -10 + 10 = 0 0 + 3r = 4 + 10 3r = 4 + 10 Combine like terms: 4 + 10 = 14 3r = 14 Divide each side by '3'. r = 4.666666667 Simplifying r = 4.666666667
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