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Simplifying 15(-7r + -6) = 12 + (-3r + -24) + -16 Reorder the terms: 15(-6 + -7r) = 12 + (-3r + -24) + -16 (-6 * 15 + -7r * 15) = 12 + (-3r + -24) + -16 (-90 + -105r) = 12 + (-3r + -24) + -16 Reorder the terms: -90 + -105r = 12 + (-24 + -3r) + -16 Remove parenthesis around (-24 + -3r) -90 + -105r = 12 + -24 + -3r + -16 Reorder the terms: -90 + -105r = 12 + -24 + -16 + -3r Combine like terms: 12 + -24 = -12 -90 + -105r = -12 + -16 + -3r Combine like terms: -12 + -16 = -28 -90 + -105r = -28 + -3r Solving -90 + -105r = -28 + -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. -90 + -105r + 3r = -28 + -3r + 3r Combine like terms: -105r + 3r = -102r -90 + -102r = -28 + -3r + 3r Combine like terms: -3r + 3r = 0 -90 + -102r = -28 + 0 -90 + -102r = -28 Add '90' to each side of the equation. -90 + 90 + -102r = -28 + 90 Combine like terms: -90 + 90 = 0 0 + -102r = -28 + 90 -102r = -28 + 90 Combine like terms: -28 + 90 = 62 -102r = 62 Divide each side by '-102'. r = -0.6078431373 Simplifying r = -0.6078431373
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