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Simplifying 4.5(r + -4) = (r + -1.5) + -3 Reorder the terms: 4.5(-4 + r) = (r + -1.5) + -3 (-4 * 4.5 + r * 4.5) = (r + -1.5) + -3 (-18 + 4.5r) = (r + -1.5) + -3 Reorder the terms: -18 + 4.5r = (-1.5 + r) + -3 Remove parenthesis around (-1.5 + r) -18 + 4.5r = -1.5 + r + -3 Reorder the terms: -18 + 4.5r = -1.5 + -3 + r Combine like terms: -1.5 + -3 = -4.5 -18 + 4.5r = -4.5 + r Solving -18 + 4.5r = -4.5 + r 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. -18 + 4.5r + -1r = -4.5 + r + -1r Combine like terms: 4.5r + -1r = 3.5r -18 + 3.5r = -4.5 + r + -1r Combine like terms: r + -1r = 0 -18 + 3.5r = -4.5 + 0 -18 + 3.5r = -4.5 Add '18' to each side of the equation. -18 + 18 + 3.5r = -4.5 + 18 Combine like terms: -18 + 18 = 0 0 + 3.5r = -4.5 + 18 3.5r = -4.5 + 18 Combine like terms: -4.5 + 18 = 13.5 3.5r = 13.5 Divide each side by '3.5'. r = 3.857142857 Simplifying r = 3.857142857
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