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Simplifying 5r + -6r = 3(r + 5) + -16 Combine like terms: 5r + -6r = -1r -1r = 3(r + 5) + -16 Reorder the terms: -1r = 3(5 + r) + -16 -1r = (5 * 3 + r * 3) + -16 -1r = (15 + 3r) + -16 Reorder the terms: -1r = 15 + -16 + 3r Combine like terms: 15 + -16 = -1 -1r = -1 + 3r Solving -1r = -1 + 3r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-3r' to each side of the equation. -1r + -3r = -1 + 3r + -3r Combine like terms: -1r + -3r = -4r -4r = -1 + 3r + -3r Combine like terms: 3r + -3r = 0 -4r = -1 + 0 -4r = -1 Divide each side by '-4'. r = 0.25 Simplifying r = 0.25
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