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Simplifying -64 = 3(r + -8) + -8(-2r + 5) Reorder the terms: -64 = 3(-8 + r) + -8(-2r + 5) -64 = (-8 * 3 + r * 3) + -8(-2r + 5) -64 = (-24 + 3r) + -8(-2r + 5) Reorder the terms: -64 = -24 + 3r + -8(5 + -2r) -64 = -24 + 3r + (5 * -8 + -2r * -8) -64 = -24 + 3r + (-40 + 16r) Reorder the terms: -64 = -24 + -40 + 3r + 16r Combine like terms: -24 + -40 = -64 -64 = -64 + 3r + 16r Combine like terms: 3r + 16r = 19r -64 = -64 + 19r Add '64' to each side of the equation. -64 + 64 = -64 + 64 + 19r Combine like terms: -64 + 64 = 0 0 = -64 + 64 + 19r Combine like terms: -64 + 64 = 0 0 = 0 + 19r 0 = 19r Solving 0 = 19r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-19r' to each side of the equation. 0 + -19r = 19r + -19r Remove the zero: -19r = 19r + -19r Combine like terms: 19r + -19r = 0 -19r = 0 Divide each side by '-19'. r = 0 Simplifying r = 0
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