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Simplifying -2r + 5t + -9 = 3(r + -4) + -5 Reorder the terms: -9 + -2r + 5t = 3(r + -4) + -5 Reorder the terms: -9 + -2r + 5t = 3(-4 + r) + -5 -9 + -2r + 5t = (-4 * 3 + r * 3) + -5 -9 + -2r + 5t = (-12 + 3r) + -5 Reorder the terms: -9 + -2r + 5t = -12 + -5 + 3r Combine like terms: -12 + -5 = -17 -9 + -2r + 5t = -17 + 3r Solving -9 + -2r + 5t = -17 + 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. -9 + -2r + -3r + 5t = -17 + 3r + -3r Combine like terms: -2r + -3r = -5r -9 + -5r + 5t = -17 + 3r + -3r Combine like terms: 3r + -3r = 0 -9 + -5r + 5t = -17 + 0 -9 + -5r + 5t = -17 Add '9' to each side of the equation. -9 + -5r + 9 + 5t = -17 + 9 Reorder the terms: -9 + 9 + -5r + 5t = -17 + 9 Combine like terms: -9 + 9 = 0 0 + -5r + 5t = -17 + 9 -5r + 5t = -17 + 9 Combine like terms: -17 + 9 = -8 -5r + 5t = -8 Add '-5t' to each side of the equation. -5r + 5t + -5t = -8 + -5t Combine like terms: 5t + -5t = 0 -5r + 0 = -8 + -5t -5r = -8 + -5t Divide each side by '-5'. r = 1.6 + t Simplifying r = 1.6 + t
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