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Simplifying 2(r + -2) = 3r + -7(3 + -1r) Reorder the terms: 2(-2 + r) = 3r + -7(3 + -1r) (-2 * 2 + r * 2) = 3r + -7(3 + -1r) (-4 + 2r) = 3r + -7(3 + -1r) -4 + 2r = 3r + (3 * -7 + -1r * -7) -4 + 2r = 3r + (-21 + 7r) Reorder the terms: -4 + 2r = -21 + 3r + 7r Combine like terms: 3r + 7r = 10r -4 + 2r = -21 + 10r Solving -4 + 2r = -21 + 10r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-10r' to each side of the equation. -4 + 2r + -10r = -21 + 10r + -10r Combine like terms: 2r + -10r = -8r -4 + -8r = -21 + 10r + -10r Combine like terms: 10r + -10r = 0 -4 + -8r = -21 + 0 -4 + -8r = -21 Add '4' to each side of the equation. -4 + 4 + -8r = -21 + 4 Combine like terms: -4 + 4 = 0 0 + -8r = -21 + 4 -8r = -21 + 4 Combine like terms: -21 + 4 = -17 -8r = -17 Divide each side by '-8'. r = 2.125 Simplifying r = 2.125
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