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Simplifying (3r + -4) + -1(7r + 6) = 4r Reorder the terms: (-4 + 3r) + -1(7r + 6) = 4r Remove parenthesis around (-4 + 3r) -4 + 3r + -1(7r + 6) = 4r Reorder the terms: -4 + 3r + -1(6 + 7r) = 4r -4 + 3r + (6 * -1 + 7r * -1) = 4r -4 + 3r + (-6 + -7r) = 4r Reorder the terms: -4 + -6 + 3r + -7r = 4r Combine like terms: -4 + -6 = -10 -10 + 3r + -7r = 4r Combine like terms: 3r + -7r = -4r -10 + -4r = 4r Solving -10 + -4r = 4r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-4r' to each side of the equation. -10 + -4r + -4r = 4r + -4r Combine like terms: -4r + -4r = -8r -10 + -8r = 4r + -4r Combine like terms: 4r + -4r = 0 -10 + -8r = 0 Add '10' to each side of the equation. -10 + 10 + -8r = 0 + 10 Combine like terms: -10 + 10 = 0 0 + -8r = 0 + 10 -8r = 0 + 10 Combine like terms: 0 + 10 = 10 -8r = 10 Divide each side by '-8'. r = -1.25 Simplifying r = -1.25
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