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Simplifying 5(7r + -4) + 18 = 3(12r + -2) Reorder the terms: 5(-4 + 7r) + 18 = 3(12r + -2) (-4 * 5 + 7r * 5) + 18 = 3(12r + -2) (-20 + 35r) + 18 = 3(12r + -2) Reorder the terms: -20 + 18 + 35r = 3(12r + -2) Combine like terms: -20 + 18 = -2 -2 + 35r = 3(12r + -2) Reorder the terms: -2 + 35r = 3(-2 + 12r) -2 + 35r = (-2 * 3 + 12r * 3) -2 + 35r = (-6 + 36r) Solving -2 + 35r = -6 + 36r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-36r' to each side of the equation. -2 + 35r + -36r = -6 + 36r + -36r Combine like terms: 35r + -36r = -1r -2 + -1r = -6 + 36r + -36r Combine like terms: 36r + -36r = 0 -2 + -1r = -6 + 0 -2 + -1r = -6 Add '2' to each side of the equation. -2 + 2 + -1r = -6 + 2 Combine like terms: -2 + 2 = 0 0 + -1r = -6 + 2 -1r = -6 + 2 Combine like terms: -6 + 2 = -4 -1r = -4 Divide each side by '-1'. r = 4 Simplifying r = 4
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