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Simplifying 0.4r + 3 + 0.6r = 1.5(r + -3) Reorder the terms: 3 + 0.4r + 0.6r = 1.5(r + -3) Combine like terms: 0.4r + 0.6r = 1r 3 + 1r = 1.5(r + -3) Reorder the terms: 3 + 1r = 1.5(-3 + r) 3 + 1r = (-3 * 1.5 + r * 1.5) 3 + 1r = (-4.5 + 1.5r) Solving 3 + 1r = -4.5 + 1.5r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-1.5r' to each side of the equation. 3 + 1r + -1.5r = -4.5 + 1.5r + -1.5r Combine like terms: 1r + -1.5r = -0.5r 3 + -0.5r = -4.5 + 1.5r + -1.5r Combine like terms: 1.5r + -1.5r = 0.0 3 + -0.5r = -4.5 + 0.0 3 + -0.5r = -4.5 Add '-3' to each side of the equation. 3 + -3 + -0.5r = -4.5 + -3 Combine like terms: 3 + -3 = 0 0 + -0.5r = -4.5 + -3 -0.5r = -4.5 + -3 Combine like terms: -4.5 + -3 = -7.5 -0.5r = -7.5 Divide each side by '-0.5'. r = 15 Simplifying r = 15
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