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Simplifying 3 + 6(7 + -7r) = -1(r + -4) 3 + (7 * 6 + -7r * 6) = -1(r + -4) 3 + (42 + -42r) = -1(r + -4) Combine like terms: 3 + 42 = 45 45 + -42r = -1(r + -4) Reorder the terms: 45 + -42r = -1(-4 + r) 45 + -42r = (-4 * -1 + r * -1) 45 + -42r = (4 + -1r) Solving 45 + -42r = 4 + -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. 45 + -42r + r = 4 + -1r + r Combine like terms: -42r + r = -41r 45 + -41r = 4 + -1r + r Combine like terms: -1r + r = 0 45 + -41r = 4 + 0 45 + -41r = 4 Add '-45' to each side of the equation. 45 + -45 + -41r = 4 + -45 Combine like terms: 45 + -45 = 0 0 + -41r = 4 + -45 -41r = 4 + -45 Combine like terms: 4 + -45 = -41 -41r = -41 Divide each side by '-41'. r = 1 Simplifying r = 1
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