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Simplifying 0.03(r + 2) = -0.01(-2r + -4) Reorder the terms: 0.03(2 + r) = -0.01(-2r + -4) (2 * 0.03 + r * 0.03) = -0.01(-2r + -4) (0.06 + 0.03r) = -0.01(-2r + -4) Reorder the terms: 0.06 + 0.03r = -0.01(-4 + -2r) 0.06 + 0.03r = (-4 * -0.01 + -2r * -0.01) 0.06 + 0.03r = (0.04 + 0.02r) Solving 0.06 + 0.03r = 0.04 + 0.02r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-0.02r' to each side of the equation. 0.06 + 0.03r + -0.02r = 0.04 + 0.02r + -0.02r Combine like terms: 0.03r + -0.02r = 0.01r 0.06 + 0.01r = 0.04 + 0.02r + -0.02r Combine like terms: 0.02r + -0.02r = 0.00 0.06 + 0.01r = 0.04 + 0.00 0.06 + 0.01r = 0.04 Add '-0.06' to each side of the equation. 0.06 + -0.06 + 0.01r = 0.04 + -0.06 Combine like terms: 0.06 + -0.06 = 0.00 0.00 + 0.01r = 0.04 + -0.06 0.01r = 0.04 + -0.06 Combine like terms: 0.04 + -0.06 = -0.02 0.01r = -0.02 Divide each side by '0.01'. r = -2 Simplifying r = -2
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