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Simplifying -6(2r + 1) + -7(-6r + 8) = -2 Reorder the terms: -6(1 + 2r) + -7(-6r + 8) = -2 (1 * -6 + 2r * -6) + -7(-6r + 8) = -2 (-6 + -12r) + -7(-6r + 8) = -2 Reorder the terms: -6 + -12r + -7(8 + -6r) = -2 -6 + -12r + (8 * -7 + -6r * -7) = -2 -6 + -12r + (-56 + 42r) = -2 Reorder the terms: -6 + -56 + -12r + 42r = -2 Combine like terms: -6 + -56 = -62 -62 + -12r + 42r = -2 Combine like terms: -12r + 42r = 30r -62 + 30r = -2 Solving -62 + 30r = -2 Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '62' to each side of the equation. -62 + 62 + 30r = -2 + 62 Combine like terms: -62 + 62 = 0 0 + 30r = -2 + 62 30r = -2 + 62 Combine like terms: -2 + 62 = 60 30r = 60 Divide each side by '30'. r = 2 Simplifying r = 2
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