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Simplifying -6(8 + 3r) + -7(-7 + -7r) = -61 (8 * -6 + 3r * -6) + -7(-7 + -7r) = -61 (-48 + -18r) + -7(-7 + -7r) = -61 -48 + -18r + (-7 * -7 + -7r * -7) = -61 -48 + -18r + (49 + 49r) = -61 Reorder the terms: -48 + 49 + -18r + 49r = -61 Combine like terms: -48 + 49 = 1 1 + -18r + 49r = -61 Combine like terms: -18r + 49r = 31r 1 + 31r = -61 Solving 1 + 31r = -61 Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + 31r = -61 + -1 Combine like terms: 1 + -1 = 0 0 + 31r = -61 + -1 31r = -61 + -1 Combine like terms: -61 + -1 = -62 31r = -62 Divide each side by '31'. r = -2 Simplifying r = -2
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