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Simplifying 4(r + -1) + 5r + 3 = 0 Reorder the terms: 4(-1 + r) + 5r + 3 = 0 (-1 * 4 + r * 4) + 5r + 3 = 0 (-4 + 4r) + 5r + 3 = 0 Reorder the terms: -4 + 3 + 4r + 5r = 0 Combine like terms: -4 + 3 = -1 -1 + 4r + 5r = 0 Combine like terms: 4r + 5r = 9r -1 + 9r = 0 Solving -1 + 9r = 0 Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '1' to each side of the equation. -1 + 1 + 9r = 0 + 1 Combine like terms: -1 + 1 = 0 0 + 9r = 0 + 1 9r = 0 + 1 Combine like terms: 0 + 1 = 1 9r = 1 Divide each side by '9'. r = 0.1111111111 Simplifying r = 0.1111111111
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