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Simplifying 8 + -2(2r + -7) = -3(2r + -4) Reorder the terms: 8 + -2(-7 + 2r) = -3(2r + -4) 8 + (-7 * -2 + 2r * -2) = -3(2r + -4) 8 + (14 + -4r) = -3(2r + -4) Combine like terms: 8 + 14 = 22 22 + -4r = -3(2r + -4) Reorder the terms: 22 + -4r = -3(-4 + 2r) 22 + -4r = (-4 * -3 + 2r * -3) 22 + -4r = (12 + -6r) Solving 22 + -4r = 12 + -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. 22 + -4r + 6r = 12 + -6r + 6r Combine like terms: -4r + 6r = 2r 22 + 2r = 12 + -6r + 6r Combine like terms: -6r + 6r = 0 22 + 2r = 12 + 0 22 + 2r = 12 Add '-22' to each side of the equation. 22 + -22 + 2r = 12 + -22 Combine like terms: 22 + -22 = 0 0 + 2r = 12 + -22 2r = 12 + -22 Combine like terms: 12 + -22 = -10 2r = -10 Divide each side by '2'. r = -5 Simplifying r = -5
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