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Simplifying 16(r + 2) + -3r = 8(r + -4) + 4 Reorder the terms: 16(2 + r) + -3r = 8(r + -4) + 4 (2 * 16 + r * 16) + -3r = 8(r + -4) + 4 (32 + 16r) + -3r = 8(r + -4) + 4 Combine like terms: 16r + -3r = 13r 32 + 13r = 8(r + -4) + 4 Reorder the terms: 32 + 13r = 8(-4 + r) + 4 32 + 13r = (-4 * 8 + r * 8) + 4 32 + 13r = (-32 + 8r) + 4 Reorder the terms: 32 + 13r = -32 + 4 + 8r Combine like terms: -32 + 4 = -28 32 + 13r = -28 + 8r Solving 32 + 13r = -28 + 8r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-8r' to each side of the equation. 32 + 13r + -8r = -28 + 8r + -8r Combine like terms: 13r + -8r = 5r 32 + 5r = -28 + 8r + -8r Combine like terms: 8r + -8r = 0 32 + 5r = -28 + 0 32 + 5r = -28 Add '-32' to each side of the equation. 32 + -32 + 5r = -28 + -32 Combine like terms: 32 + -32 = 0 0 + 5r = -28 + -32 5r = -28 + -32 Combine like terms: -28 + -32 = -60 5r = -60 Divide each side by '5'. r = -12 Simplifying r = -12
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