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Simplifying (3r + -7) + -1(4r + -15) = 6 Reorder the terms: (-7 + 3r) + -1(4r + -15) = 6 Remove parenthesis around (-7 + 3r) -7 + 3r + -1(4r + -15) = 6 Reorder the terms: -7 + 3r + -1(-15 + 4r) = 6 -7 + 3r + (-15 * -1 + 4r * -1) = 6 -7 + 3r + (15 + -4r) = 6 Reorder the terms: -7 + 15 + 3r + -4r = 6 Combine like terms: -7 + 15 = 8 8 + 3r + -4r = 6 Combine like terms: 3r + -4r = -1r 8 + -1r = 6 Solving 8 + -1r = 6 Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + -1r = 6 + -8 Combine like terms: 8 + -8 = 0 0 + -1r = 6 + -8 -1r = 6 + -8 Combine like terms: 6 + -8 = -2 -1r = -2 Divide each side by '-1'. r = 2 Simplifying r = 2
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