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Simplifying 0.3(r + 2) = -1.0(-2r + -4) Reorder the terms: 0.3(2 + r) = -1.0(-2r + -4) (2 * 0.3 + r * 0.3) = -1.0(-2r + -4) (0.6 + 0.3r) = -1.0(-2r + -4) Reorder the terms: 0.6 + 0.3r = -1.0(-4 + -2r) 0.6 + 0.3r = (-4 * -1.0 + -2r * -1.0) 0.6 + 0.3r = (4 + 2r) Solving 0.6 + 0.3r = 4 + 2r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-2r' to each side of the equation. 0.6 + 0.3r + -2r = 4 + 2r + -2r Combine like terms: 0.3r + -2r = -1.7r 0.6 + -1.7r = 4 + 2r + -2r Combine like terms: 2r + -2r = 0 0.6 + -1.7r = 4 + 0 0.6 + -1.7r = 4 Add '-0.6' to each side of the equation. 0.6 + -0.6 + -1.7r = 4 + -0.6 Combine like terms: 0.6 + -0.6 = 0.0 0.0 + -1.7r = 4 + -0.6 -1.7r = 4 + -0.6 Combine like terms: 4 + -0.6 = 3.4 -1.7r = 3.4 Divide each side by '-1.7'. r = -2 Simplifying r = -2
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