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Simplifying 7(1 + -6r) + 5r = 7 + -2r (1 * 7 + -6r * 7) + 5r = 7 + -2r (7 + -42r) + 5r = 7 + -2r Combine like terms: -42r + 5r = -37r 7 + -37r = 7 + -2r Add '-7' to each side of the equation. 7 + -7 + -37r = 7 + -7 + -2r Combine like terms: 7 + -7 = 0 0 + -37r = 7 + -7 + -2r -37r = 7 + -7 + -2r Combine like terms: 7 + -7 = 0 -37r = 0 + -2r -37r = -2r Solving -37r = -2r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '2r' to each side of the equation. -37r + 2r = -2r + 2r Combine like terms: -37r + 2r = -35r -35r = -2r + 2r Combine like terms: -2r + 2r = 0 -35r = 0 Divide each side by '-35'. r = 0 Simplifying r = 0
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