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Simplifying 24 = -8(5 + -4r) + -2(-3r + 6) 24 = (5 * -8 + -4r * -8) + -2(-3r + 6) 24 = (-40 + 32r) + -2(-3r + 6) Reorder the terms: 24 = -40 + 32r + -2(6 + -3r) 24 = -40 + 32r + (6 * -2 + -3r * -2) 24 = -40 + 32r + (-12 + 6r) Reorder the terms: 24 = -40 + -12 + 32r + 6r Combine like terms: -40 + -12 = -52 24 = -52 + 32r + 6r Combine like terms: 32r + 6r = 38r 24 = -52 + 38r Solving 24 = -52 + 38r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-38r' to each side of the equation. 24 + -38r = -52 + 38r + -38r Combine like terms: 38r + -38r = 0 24 + -38r = -52 + 0 24 + -38r = -52 Add '-24' to each side of the equation. 24 + -24 + -38r = -52 + -24 Combine like terms: 24 + -24 = 0 0 + -38r = -52 + -24 -38r = -52 + -24 Combine like terms: -52 + -24 = -76 -38r = -76 Divide each side by '-38'. r = 2 Simplifying r = 2
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