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Simplifying 5(r + -3) + 6r + -2r + 4 = 0 Reorder the terms: 5(-3 + r) + 6r + -2r + 4 = 0 (-3 * 5 + r * 5) + 6r + -2r + 4 = 0 (-15 + 5r) + 6r + -2r + 4 = 0 Reorder the terms: -15 + 4 + 5r + 6r + -2r = 0 Combine like terms: -15 + 4 = -11 -11 + 5r + 6r + -2r = 0 Combine like terms: 5r + 6r = 11r -11 + 11r + -2r = 0 Combine like terms: 11r + -2r = 9r -11 + 9r = 0 Solving -11 + 9r = 0 Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '11' to each side of the equation. -11 + 11 + 9r = 0 + 11 Combine like terms: -11 + 11 = 0 0 + 9r = 0 + 11 9r = 0 + 11 Combine like terms: 0 + 11 = 11 9r = 11 Divide each side by '9'. r = 1.222222222 Simplifying r = 1.222222222
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