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Simplifying 8(r + -2) + 6 = 2(r + 1) Reorder the terms: 8(-2 + r) + 6 = 2(r + 1) (-2 * 8 + r * 8) + 6 = 2(r + 1) (-16 + 8r) + 6 = 2(r + 1) Reorder the terms: -16 + 6 + 8r = 2(r + 1) Combine like terms: -16 + 6 = -10 -10 + 8r = 2(r + 1) Reorder the terms: -10 + 8r = 2(1 + r) -10 + 8r = (1 * 2 + r * 2) -10 + 8r = (2 + 2r) Solving -10 + 8r = 2 + 2r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-2r' to each side of the equation. -10 + 8r + -2r = 2 + 2r + -2r Combine like terms: 8r + -2r = 6r -10 + 6r = 2 + 2r + -2r Combine like terms: 2r + -2r = 0 -10 + 6r = 2 + 0 -10 + 6r = 2 Add '10' to each side of the equation. -10 + 10 + 6r = 2 + 10 Combine like terms: -10 + 10 = 0 0 + 6r = 2 + 10 6r = 2 + 10 Combine like terms: 2 + 10 = 12 6r = 12 Divide each side by '6'. r = 2 Simplifying r = 2
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