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Simplifying 0.04(2r + 1) + -0.03(2c + -5) = 0.29 Reorder the terms: 0.04(1 + 2r) + -0.03(2c + -5) = 0.29 (1 * 0.04 + 2r * 0.04) + -0.03(2c + -5) = 0.29 (0.04 + 0.08r) + -0.03(2c + -5) = 0.29 Reorder the terms: 0.04 + 0.08r + -0.03(-5 + 2c) = 0.29 0.04 + 0.08r + (-5 * -0.03 + 2c * -0.03) = 0.29 0.04 + 0.08r + (0.15 + -0.06c) = 0.29 Reorder the terms: 0.04 + 0.15 + -0.06c + 0.08r = 0.29 Combine like terms: 0.04 + 0.15 = 0.19 0.19 + -0.06c + 0.08r = 0.29 Solving 0.19 + -0.06c + 0.08r = 0.29 Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-0.19' to each side of the equation. 0.19 + -0.06c + -0.19 + 0.08r = 0.29 + -0.19 Reorder the terms: 0.19 + -0.19 + -0.06c + 0.08r = 0.29 + -0.19 Combine like terms: 0.19 + -0.19 = 0.00 0.00 + -0.06c + 0.08r = 0.29 + -0.19 -0.06c + 0.08r = 0.29 + -0.19 Combine like terms: 0.29 + -0.19 = 0.1 -0.06c + 0.08r = 0.1 Add '-0.08r' to each side of the equation. -0.06c + 0.08r + -0.08r = 0.1 + -0.08r Combine like terms: 0.08r + -0.08r = 0.00 -0.06c + 0.00 = 0.1 + -0.08r -0.06c = 0.1 + -0.08r Divide each side by '-0.06'. c = -1.666666667 + 1.333333333r Simplifying c = -1.666666667 + 1.333333333r
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