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Simplifying -62 = -7(1 + -7r) + 6(7r + 6) -62 = (1 * -7 + -7r * -7) + 6(7r + 6) -62 = (-7 + 49r) + 6(7r + 6) Reorder the terms: -62 = -7 + 49r + 6(6 + 7r) -62 = -7 + 49r + (6 * 6 + 7r * 6) -62 = -7 + 49r + (36 + 42r) Reorder the terms: -62 = -7 + 36 + 49r + 42r Combine like terms: -7 + 36 = 29 -62 = 29 + 49r + 42r Combine like terms: 49r + 42r = 91r -62 = 29 + 91r Solving -62 = 29 + 91r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-91r' to each side of the equation. -62 + -91r = 29 + 91r + -91r Combine like terms: 91r + -91r = 0 -62 + -91r = 29 + 0 -62 + -91r = 29 Add '62' to each side of the equation. -62 + 62 + -91r = 29 + 62 Combine like terms: -62 + 62 = 0 0 + -91r = 29 + 62 -91r = 29 + 62 Combine like terms: 29 + 62 = 91 -91r = 91 Divide each side by '-91'. r = -1 Simplifying r = -1
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