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Simplifying -5(11 + -4r) + 5 = -3(-6r + 8) (11 * -5 + -4r * -5) + 5 = -3(-6r + 8) (-55 + 20r) + 5 = -3(-6r + 8) Reorder the terms: -55 + 5 + 20r = -3(-6r + 8) Combine like terms: -55 + 5 = -50 -50 + 20r = -3(-6r + 8) Reorder the terms: -50 + 20r = -3(8 + -6r) -50 + 20r = (8 * -3 + -6r * -3) -50 + 20r = (-24 + 18r) Solving -50 + 20r = -24 + 18r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-18r' to each side of the equation. -50 + 20r + -18r = -24 + 18r + -18r Combine like terms: 20r + -18r = 2r -50 + 2r = -24 + 18r + -18r Combine like terms: 18r + -18r = 0 -50 + 2r = -24 + 0 -50 + 2r = -24 Add '50' to each side of the equation. -50 + 50 + 2r = -24 + 50 Combine like terms: -50 + 50 = 0 0 + 2r = -24 + 50 2r = -24 + 50 Combine like terms: -24 + 50 = 26 2r = 26 Divide each side by '2'. r = 13 Simplifying r = 13
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