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Simplifying (4r + 4) = 10 + -1(2r + 6) Reorder the terms: (4 + 4r) = 10 + -1(2r + 6) Remove parenthesis around (4 + 4r) 4 + 4r = 10 + -1(2r + 6) Reorder the terms: 4 + 4r = 10 + -1(6 + 2r) 4 + 4r = 10 + (6 * -1 + 2r * -1) 4 + 4r = 10 + (-6 + -2r) Combine like terms: 10 + -6 = 4 4 + 4r = 4 + -2r Add '-4' to each side of the equation. 4 + -4 + 4r = 4 + -4 + -2r Combine like terms: 4 + -4 = 0 0 + 4r = 4 + -4 + -2r 4r = 4 + -4 + -2r Combine like terms: 4 + -4 = 0 4r = 0 + -2r 4r = -2r Solving 4r = -2r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '2r' to each side of the equation. 4r + 2r = -2r + 2r Combine like terms: 4r + 2r = 6r 6r = -2r + 2r Combine like terms: -2r + 2r = 0 6r = 0 Divide each side by '6'. r = 0 Simplifying r = 0
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