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Simplifying -16 = 2(3r + 8) + 8(r + 3) Reorder the terms: -16 = 2(8 + 3r) + 8(r + 3) -16 = (8 * 2 + 3r * 2) + 8(r + 3) -16 = (16 + 6r) + 8(r + 3) Reorder the terms: -16 = 16 + 6r + 8(3 + r) -16 = 16 + 6r + (3 * 8 + r * 8) -16 = 16 + 6r + (24 + 8r) Reorder the terms: -16 = 16 + 24 + 6r + 8r Combine like terms: 16 + 24 = 40 -16 = 40 + 6r + 8r Combine like terms: 6r + 8r = 14r -16 = 40 + 14r Solving -16 = 40 + 14r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-14r' to each side of the equation. -16 + -14r = 40 + 14r + -14r Combine like terms: 14r + -14r = 0 -16 + -14r = 40 + 0 -16 + -14r = 40 Add '16' to each side of the equation. -16 + 16 + -14r = 40 + 16 Combine like terms: -16 + 16 = 0 0 + -14r = 40 + 16 -14r = 40 + 16 Combine like terms: 40 + 16 = 56 -14r = 56 Divide each side by '-14'. r = -4 Simplifying r = -4
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