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Simplifying 3(-4 + r) = 7r + -1(r + 3) (-4 * 3 + r * 3) = 7r + -1(r + 3) (-12 + 3r) = 7r + -1(r + 3) Reorder the terms: -12 + 3r = 7r + -1(3 + r) -12 + 3r = 7r + (3 * -1 + r * -1) -12 + 3r = 7r + (-3 + -1r) Reorder the terms: -12 + 3r = -3 + 7r + -1r Combine like terms: 7r + -1r = 6r -12 + 3r = -3 + 6r Solving -12 + 3r = -3 + 6r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-6r' to each side of the equation. -12 + 3r + -6r = -3 + 6r + -6r Combine like terms: 3r + -6r = -3r -12 + -3r = -3 + 6r + -6r Combine like terms: 6r + -6r = 0 -12 + -3r = -3 + 0 -12 + -3r = -3 Add '12' to each side of the equation. -12 + 12 + -3r = -3 + 12 Combine like terms: -12 + 12 = 0 0 + -3r = -3 + 12 -3r = -3 + 12 Combine like terms: -3 + 12 = 9 -3r = 9 Divide each side by '-3'. r = -3 Simplifying r = -3
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