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Simplifying 3(5r + -1) + -4(r + -4) = -5(2r + 10) Reorder the terms: 3(-1 + 5r) + -4(r + -4) = -5(2r + 10) (-1 * 3 + 5r * 3) + -4(r + -4) = -5(2r + 10) (-3 + 15r) + -4(r + -4) = -5(2r + 10) Reorder the terms: -3 + 15r + -4(-4 + r) = -5(2r + 10) -3 + 15r + (-4 * -4 + r * -4) = -5(2r + 10) -3 + 15r + (16 + -4r) = -5(2r + 10) Reorder the terms: -3 + 16 + 15r + -4r = -5(2r + 10) Combine like terms: -3 + 16 = 13 13 + 15r + -4r = -5(2r + 10) Combine like terms: 15r + -4r = 11r 13 + 11r = -5(2r + 10) Reorder the terms: 13 + 11r = -5(10 + 2r) 13 + 11r = (10 * -5 + 2r * -5) 13 + 11r = (-50 + -10r) Solving 13 + 11r = -50 + -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. 13 + 11r + 10r = -50 + -10r + 10r Combine like terms: 11r + 10r = 21r 13 + 21r = -50 + -10r + 10r Combine like terms: -10r + 10r = 0 13 + 21r = -50 + 0 13 + 21r = -50 Add '-13' to each side of the equation. 13 + -13 + 21r = -50 + -13 Combine like terms: 13 + -13 = 0 0 + 21r = -50 + -13 21r = -50 + -13 Combine like terms: -50 + -13 = -63 21r = -63 Divide each side by '21'. r = -3 Simplifying r = -3
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