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Simplifying 15 + 6r = 7(4r + -1) Reorder the terms: 15 + 6r = 7(-1 + 4r) 15 + 6r = (-1 * 7 + 4r * 7) 15 + 6r = (-7 + 28r) Solving 15 + 6r = -7 + 28r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-28r' to each side of the equation. 15 + 6r + -28r = -7 + 28r + -28r Combine like terms: 6r + -28r = -22r 15 + -22r = -7 + 28r + -28r Combine like terms: 28r + -28r = 0 15 + -22r = -7 + 0 15 + -22r = -7 Add '-15' to each side of the equation. 15 + -15 + -22r = -7 + -15 Combine like terms: 15 + -15 = 0 0 + -22r = -7 + -15 -22r = -7 + -15 Combine like terms: -7 + -15 = -22 -22r = -22 Divide each side by '-22'. r = 1 Simplifying r = 1
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