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Simplifying 6(r + -3) + 2x + 5 = 0 Reorder the terms: 6(-3 + r) + 2x + 5 = 0 (-3 * 6 + r * 6) + 2x + 5 = 0 (-18 + 6r) + 2x + 5 = 0 Reorder the terms: -18 + 5 + 6r + 2x = 0 Combine like terms: -18 + 5 = -13 -13 + 6r + 2x = 0 Solving -13 + 6r + 2x = 0 Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '13' to each side of the equation. -13 + 6r + 13 + 2x = 0 + 13 Reorder the terms: -13 + 13 + 6r + 2x = 0 + 13 Combine like terms: -13 + 13 = 0 0 + 6r + 2x = 0 + 13 6r + 2x = 0 + 13 Combine like terms: 0 + 13 = 13 6r + 2x = 13 Add '-2x' to each side of the equation. 6r + 2x + -2x = 13 + -2x Combine like terms: 2x + -2x = 0 6r + 0 = 13 + -2x 6r = 13 + -2x Divide each side by '6'. r = 2.166666667 + -0.3333333333x Simplifying r = 2.166666667 + -0.3333333333x
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