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Simplifying -68 = -7(3r + -7) + 6(-8 + -8r) Reorder the terms: -68 = -7(-7 + 3r) + 6(-8 + -8r) -68 = (-7 * -7 + 3r * -7) + 6(-8 + -8r) -68 = (49 + -21r) + 6(-8 + -8r) -68 = 49 + -21r + (-8 * 6 + -8r * 6) -68 = 49 + -21r + (-48 + -48r) Reorder the terms: -68 = 49 + -48 + -21r + -48r Combine like terms: 49 + -48 = 1 -68 = 1 + -21r + -48r Combine like terms: -21r + -48r = -69r -68 = 1 + -69r Solving -68 = 1 + -69r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '69r' to each side of the equation. -68 + 69r = 1 + -69r + 69r Combine like terms: -69r + 69r = 0 -68 + 69r = 1 + 0 -68 + 69r = 1 Add '68' to each side of the equation. -68 + 68 + 69r = 1 + 68 Combine like terms: -68 + 68 = 0 0 + 69r = 1 + 68 69r = 1 + 68 Combine like terms: 1 + 68 = 69 69r = 69 Divide each side by '69'. r = 1 Simplifying r = 1
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