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Simplifying -5(5r + 8) + -6r = -3(11r + 4) + 10 Reorder the terms: -5(8 + 5r) + -6r = -3(11r + 4) + 10 (8 * -5 + 5r * -5) + -6r = -3(11r + 4) + 10 (-40 + -25r) + -6r = -3(11r + 4) + 10 Combine like terms: -25r + -6r = -31r -40 + -31r = -3(11r + 4) + 10 Reorder the terms: -40 + -31r = -3(4 + 11r) + 10 -40 + -31r = (4 * -3 + 11r * -3) + 10 -40 + -31r = (-12 + -33r) + 10 Reorder the terms: -40 + -31r = -12 + 10 + -33r Combine like terms: -12 + 10 = -2 -40 + -31r = -2 + -33r Solving -40 + -31r = -2 + -33r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '33r' to each side of the equation. -40 + -31r + 33r = -2 + -33r + 33r Combine like terms: -31r + 33r = 2r -40 + 2r = -2 + -33r + 33r Combine like terms: -33r + 33r = 0 -40 + 2r = -2 + 0 -40 + 2r = -2 Add '40' to each side of the equation. -40 + 40 + 2r = -2 + 40 Combine like terms: -40 + 40 = 0 0 + 2r = -2 + 40 2r = -2 + 40 Combine like terms: -2 + 40 = 38 2r = 38 Divide each side by '2'. r = 19 Simplifying r = 19
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