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Simplifying 2(r + 5) + 2 = -2r + -4(1 + 2r) Reorder the terms: 2(5 + r) + 2 = -2r + -4(1 + 2r) (5 * 2 + r * 2) + 2 = -2r + -4(1 + 2r) (10 + 2r) + 2 = -2r + -4(1 + 2r) Reorder the terms: 10 + 2 + 2r = -2r + -4(1 + 2r) Combine like terms: 10 + 2 = 12 12 + 2r = -2r + -4(1 + 2r) 12 + 2r = -2r + (1 * -4 + 2r * -4) 12 + 2r = -2r + (-4 + -8r) Reorder the terms: 12 + 2r = -4 + -2r + -8r Combine like terms: -2r + -8r = -10r 12 + 2r = -4 + -10r Solving 12 + 2r = -4 + -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. 12 + 2r + 10r = -4 + -10r + 10r Combine like terms: 2r + 10r = 12r 12 + 12r = -4 + -10r + 10r Combine like terms: -10r + 10r = 0 12 + 12r = -4 + 0 12 + 12r = -4 Add '-12' to each side of the equation. 12 + -12 + 12r = -4 + -12 Combine like terms: 12 + -12 = 0 0 + 12r = -4 + -12 12r = -4 + -12 Combine like terms: -4 + -12 = -16 12r = -16 Divide each side by '12'. r = -1.333333333 Simplifying r = -1.333333333
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