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Simplifying -6(-7r + 5) + -6r = -1r + 7 Reorder the terms: -6(5 + -7r) + -6r = -1r + 7 (5 * -6 + -7r * -6) + -6r = -1r + 7 (-30 + 42r) + -6r = -1r + 7 Combine like terms: 42r + -6r = 36r -30 + 36r = -1r + 7 Reorder the terms: -30 + 36r = 7 + -1r Solving -30 + 36r = 7 + -1r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add 'r' to each side of the equation. -30 + 36r + r = 7 + -1r + r Combine like terms: 36r + r = 37r -30 + 37r = 7 + -1r + r Combine like terms: -1r + r = 0 -30 + 37r = 7 + 0 -30 + 37r = 7 Add '30' to each side of the equation. -30 + 30 + 37r = 7 + 30 Combine like terms: -30 + 30 = 0 0 + 37r = 7 + 30 37r = 7 + 30 Combine like terms: 7 + 30 = 37 37r = 37 Divide each side by '37'. r = 1 Simplifying r = 1
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