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Simplifying 4.5(r + -4) = -3(r + -1.5) Reorder the terms: 4.5(-4 + r) = -3(r + -1.5) (-4 * 4.5 + r * 4.5) = -3(r + -1.5) (-18 + 4.5r) = -3(r + -1.5) Reorder the terms: -18 + 4.5r = -3(-1.5 + r) -18 + 4.5r = (-1.5 * -3 + r * -3) -18 + 4.5r = (4.5 + -3r) Solving -18 + 4.5r = 4.5 + -3r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '3r' to each side of the equation. -18 + 4.5r + 3r = 4.5 + -3r + 3r Combine like terms: 4.5r + 3r = 7.5r -18 + 7.5r = 4.5 + -3r + 3r Combine like terms: -3r + 3r = 0 -18 + 7.5r = 4.5 + 0 -18 + 7.5r = 4.5 Add '18' to each side of the equation. -18 + 18 + 7.5r = 4.5 + 18 Combine like terms: -18 + 18 = 0 0 + 7.5r = 4.5 + 18 7.5r = 4.5 + 18 Combine like terms: 4.5 + 18 = 22.5 7.5r = 22.5 Divide each side by '7.5'. r = 3 Simplifying r = 3
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