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Simplifying 16 + 6r = 2(4r + -7) Reorder the terms: 16 + 6r = 2(-7 + 4r) 16 + 6r = (-7 * 2 + 4r * 2) 16 + 6r = (-14 + 8r) Solving 16 + 6r = -14 + 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. 16 + 6r + -8r = -14 + 8r + -8r Combine like terms: 6r + -8r = -2r 16 + -2r = -14 + 8r + -8r Combine like terms: 8r + -8r = 0 16 + -2r = -14 + 0 16 + -2r = -14 Add '-16' to each side of the equation. 16 + -16 + -2r = -14 + -16 Combine like terms: 16 + -16 = 0 0 + -2r = -14 + -16 -2r = -14 + -16 Combine like terms: -14 + -16 = -30 -2r = -30 Divide each side by '-2'. r = 15 Simplifying r = 15
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