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Simplifying -3(14 + 5r) + -2 = 14(r + 3) (14 * -3 + 5r * -3) + -2 = 14(r + 3) (-42 + -15r) + -2 = 14(r + 3) Reorder the terms: -42 + -2 + -15r = 14(r + 3) Combine like terms: -42 + -2 = -44 -44 + -15r = 14(r + 3) Reorder the terms: -44 + -15r = 14(3 + r) -44 + -15r = (3 * 14 + r * 14) -44 + -15r = (42 + 14r) Solving -44 + -15r = 42 + 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. -44 + -15r + -14r = 42 + 14r + -14r Combine like terms: -15r + -14r = -29r -44 + -29r = 42 + 14r + -14r Combine like terms: 14r + -14r = 0 -44 + -29r = 42 + 0 -44 + -29r = 42 Add '44' to each side of the equation. -44 + 44 + -29r = 42 + 44 Combine like terms: -44 + 44 = 0 0 + -29r = 42 + 44 -29r = 42 + 44 Combine like terms: 42 + 44 = 86 -29r = 86 Divide each side by '-29'. r = -2.965517241 Simplifying r = -2.965517241
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