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Simplifying 0.3(r + 2) = 0.1(-2r + -4) Reorder the terms: 0.3(2 + r) = 0.1(-2r + -4) (2 * 0.3 + r * 0.3) = 0.1(-2r + -4) (0.6 + 0.3r) = 0.1(-2r + -4) Reorder the terms: 0.6 + 0.3r = 0.1(-4 + -2r) 0.6 + 0.3r = (-4 * 0.1 + -2r * 0.1) 0.6 + 0.3r = (-0.4 + -0.2r) Solving 0.6 + 0.3r = -0.4 + -0.2r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '0.2r' to each side of the equation. 0.6 + 0.3r + 0.2r = -0.4 + -0.2r + 0.2r Combine like terms: 0.3r + 0.2r = 0.5r 0.6 + 0.5r = -0.4 + -0.2r + 0.2r Combine like terms: -0.2r + 0.2r = 0.0 0.6 + 0.5r = -0.4 + 0.0 0.6 + 0.5r = -0.4 Add '-0.6' to each side of the equation. 0.6 + -0.6 + 0.5r = -0.4 + -0.6 Combine like terms: 0.6 + -0.6 = 0.0 0.0 + 0.5r = -0.4 + -0.6 0.5r = -0.4 + -0.6 Combine like terms: -0.4 + -0.6 = -1 0.5r = -1 Divide each side by '0.5'. r = -2 Simplifying r = -2
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