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Simplifying 8(r + -2) = 3(r + -4) Reorder the terms: 8(-2 + r) = 3(r + -4) (-2 * 8 + r * 8) = 3(r + -4) (-16 + 8r) = 3(r + -4) Reorder the terms: -16 + 8r = 3(-4 + r) -16 + 8r = (-4 * 3 + r * 3) -16 + 8r = (-12 + 3r) Solving -16 + 8r = -12 + 3r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-3r' to each side of the equation. -16 + 8r + -3r = -12 + 3r + -3r Combine like terms: 8r + -3r = 5r -16 + 5r = -12 + 3r + -3r Combine like terms: 3r + -3r = 0 -16 + 5r = -12 + 0 -16 + 5r = -12 Add '16' to each side of the equation. -16 + 16 + 5r = -12 + 16 Combine like terms: -16 + 16 = 0 0 + 5r = -12 + 16 5r = -12 + 16 Combine like terms: -12 + 16 = 4 5r = 4 Divide each side by '5'. r = 0.8 Simplifying r = 0.8
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