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Simplifying 8(-4r + 4) + 6 = -16 + -5r Reorder the terms: 8(4 + -4r) + 6 = -16 + -5r (4 * 8 + -4r * 8) + 6 = -16 + -5r (32 + -32r) + 6 = -16 + -5r Reorder the terms: 32 + 6 + -32r = -16 + -5r Combine like terms: 32 + 6 = 38 38 + -32r = -16 + -5r Solving 38 + -32r = -16 + -5r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '5r' to each side of the equation. 38 + -32r + 5r = -16 + -5r + 5r Combine like terms: -32r + 5r = -27r 38 + -27r = -16 + -5r + 5r Combine like terms: -5r + 5r = 0 38 + -27r = -16 + 0 38 + -27r = -16 Add '-38' to each side of the equation. 38 + -38 + -27r = -16 + -38 Combine like terms: 38 + -38 = 0 0 + -27r = -16 + -38 -27r = -16 + -38 Combine like terms: -16 + -38 = -54 -27r = -54 Divide each side by '-27'. r = 2 Simplifying r = 2
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