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Simplifying 11 + -0.4(r + -5) = 0.8(9r + -5) Reorder the terms: 11 + -0.4(-5 + r) = 0.8(9r + -5) 11 + (-5 * -0.4 + r * -0.4) = 0.8(9r + -5) 11 + (2 + -0.4r) = 0.8(9r + -5) Combine like terms: 11 + 2 = 13 13 + -0.4r = 0.8(9r + -5) Reorder the terms: 13 + -0.4r = 0.8(-5 + 9r) 13 + -0.4r = (-5 * 0.8 + 9r * 0.8) 13 + -0.4r = (-4 + 7.2r) Solving 13 + -0.4r = -4 + 7.2r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-7.2r' to each side of the equation. 13 + -0.4r + -7.2r = -4 + 7.2r + -7.2r Combine like terms: -0.4r + -7.2r = -7.6r 13 + -7.6r = -4 + 7.2r + -7.2r Combine like terms: 7.2r + -7.2r = 0.0 13 + -7.6r = -4 + 0.0 13 + -7.6r = -4 Add '-13' to each side of the equation. 13 + -13 + -7.6r = -4 + -13 Combine like terms: 13 + -13 = 0 0 + -7.6r = -4 + -13 -7.6r = -4 + -13 Combine like terms: -4 + -13 = -17 -7.6r = -17 Divide each side by '-7.6'. r = 2.236842105 Simplifying r = 2.236842105
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