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Simplifying 12(4r + -5r) + 20 = 19r + -15 + 48r Combine like terms: 4r + -5r = -1r 12(-1r) + 20 = 19r + -15 + 48r Remove parenthesis around (-1r) 12 * -1r + 20 = 19r + -15 + 48r Multiply 12 * -1 -12r + 20 = 19r + -15 + 48r Reorder the terms: 20 + -12r = 19r + -15 + 48r Reorder the terms: 20 + -12r = -15 + 19r + 48r Combine like terms: 19r + 48r = 67r 20 + -12r = -15 + 67r Solving 20 + -12r = -15 + 67r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-67r' to each side of the equation. 20 + -12r + -67r = -15 + 67r + -67r Combine like terms: -12r + -67r = -79r 20 + -79r = -15 + 67r + -67r Combine like terms: 67r + -67r = 0 20 + -79r = -15 + 0 20 + -79r = -15 Add '-20' to each side of the equation. 20 + -20 + -79r = -15 + -20 Combine like terms: 20 + -20 = 0 0 + -79r = -15 + -20 -79r = -15 + -20 Combine like terms: -15 + -20 = -35 -79r = -35 Divide each side by '-79'. r = 0.4430379747 Simplifying r = 0.4430379747
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