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Simplifying 1.15(r + 3) + -6 = 3.2 Reorder the terms: 1.15(3 + r) + -6 = 3.2 (3 * 1.15 + r * 1.15) + -6 = 3.2 (3.45 + 1.15r) + -6 = 3.2 Reorder the terms: 3.45 + -6 + 1.15r = 3.2 Combine like terms: 3.45 + -6 = -2.55 -2.55 + 1.15r = 3.2 Solving -2.55 + 1.15r = 3.2 Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '2.55' to each side of the equation. -2.55 + 2.55 + 1.15r = 3.2 + 2.55 Combine like terms: -2.55 + 2.55 = 0.00 0.00 + 1.15r = 3.2 + 2.55 1.15r = 3.2 + 2.55 Combine like terms: 3.2 + 2.55 = 5.75 1.15r = 5.75 Divide each side by '1.15'. r = 5 Simplifying r = 5
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