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Simplifying 3 + 6(7 + -7r) = (r + -4) 3 + (7 * 6 + -7r * 6) = (r + -4) 3 + (42 + -42r) = (r + -4) Combine like terms: 3 + 42 = 45 45 + -42r = (r + -4) Reorder the terms: 45 + -42r = (-4 + r) Remove parenthesis around (-4 + r) 45 + -42r = -4 + r Solving 45 + -42r = -4 + r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-1r' to each side of the equation. 45 + -42r + -1r = -4 + r + -1r Combine like terms: -42r + -1r = -43r 45 + -43r = -4 + r + -1r Combine like terms: r + -1r = 0 45 + -43r = -4 + 0 45 + -43r = -4 Add '-45' to each side of the equation. 45 + -45 + -43r = -4 + -45 Combine like terms: 45 + -45 = 0 0 + -43r = -4 + -45 -43r = -4 + -45 Combine like terms: -4 + -45 = -49 -43r = -49 Divide each side by '-43'. r = 1.139534884 Simplifying r = 1.139534884
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