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Simplifying 0.7(5r + -7) + 0.7r = 0 Reorder the terms: 0.7(-7 + 5r) + 0.7r = 0 (-7 * 0.7 + 5r * 0.7) + 0.7r = 0 (-4.9 + 3.5r) + 0.7r = 0 Combine like terms: 3.5r + 0.7r = 4.2r -4.9 + 4.2r = 0 Solving -4.9 + 4.2r = 0 Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '4.9' to each side of the equation. -4.9 + 4.9 + 4.2r = 0 + 4.9 Combine like terms: -4.9 + 4.9 = 0.0 0.0 + 4.2r = 0 + 4.9 4.2r = 0 + 4.9 Combine like terms: 0 + 4.9 = 4.9 4.2r = 4.9 Divide each side by '4.2'. r = 1.166666667 Simplifying r = 1.166666667
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