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Simplifying -3r + -3(4 + 4r) = -12.2 + -13.6r -3r + (4 * -3 + 4r * -3) = -12.2 + -13.6r -3r + (-12 + -12r) = -12.2 + -13.6r Reorder the terms: -12 + -3r + -12r = -12.2 + -13.6r Combine like terms: -3r + -12r = -15r -12 + -15r = -12.2 + -13.6r Solving -12 + -15r = -12.2 + -13.6r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '13.6r' to each side of the equation. -12 + -15r + 13.6r = -12.2 + -13.6r + 13.6r Combine like terms: -15r + 13.6r = -1.4r -12 + -1.4r = -12.2 + -13.6r + 13.6r Combine like terms: -13.6r + 13.6r = 0.0 -12 + -1.4r = -12.2 + 0.0 -12 + -1.4r = -12.2 Add '12' to each side of the equation. -12 + 12 + -1.4r = -12.2 + 12 Combine like terms: -12 + 12 = 0 0 + -1.4r = -12.2 + 12 -1.4r = -12.2 + 12 Combine like terms: -12.2 + 12 = -0.2 -1.4r = -0.2 Divide each side by '-1.4'. r = 0.1428571429 Simplifying r = 0.1428571429
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