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Simplifying 8r + -28 = 6(3r + 7) Reorder the terms: -28 + 8r = 6(3r + 7) Reorder the terms: -28 + 8r = 6(7 + 3r) -28 + 8r = (7 * 6 + 3r * 6) -28 + 8r = (42 + 18r) Solving -28 + 8r = 42 + 18r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-18r' to each side of the equation. -28 + 8r + -18r = 42 + 18r + -18r Combine like terms: 8r + -18r = -10r -28 + -10r = 42 + 18r + -18r Combine like terms: 18r + -18r = 0 -28 + -10r = 42 + 0 -28 + -10r = 42 Add '28' to each side of the equation. -28 + 28 + -10r = 42 + 28 Combine like terms: -28 + 28 = 0 0 + -10r = 42 + 28 -10r = 42 + 28 Combine like terms: 42 + 28 = 70 -10r = 70 Divide each side by '-10'. r = -7 Simplifying r = -7
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