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Simplifying 9(t + -4) + -2r = 5(t + -2) Reorder the terms: 9(-4 + t) + -2r = 5(t + -2) (-4 * 9 + t * 9) + -2r = 5(t + -2) (-36 + 9t) + -2r = 5(t + -2) Reorder the terms: -36 + -2r + 9t = 5(t + -2) Reorder the terms: -36 + -2r + 9t = 5(-2 + t) -36 + -2r + 9t = (-2 * 5 + t * 5) -36 + -2r + 9t = (-10 + 5t) Solving -36 + -2r + 9t = -10 + 5t Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '36' to each side of the equation. -36 + -2r + 36 + 9t = -10 + 36 + 5t Reorder the terms: -36 + 36 + -2r + 9t = -10 + 36 + 5t Combine like terms: -36 + 36 = 0 0 + -2r + 9t = -10 + 36 + 5t -2r + 9t = -10 + 36 + 5t Combine like terms: -10 + 36 = 26 -2r + 9t = 26 + 5t Add '-9t' to each side of the equation. -2r + 9t + -9t = 26 + 5t + -9t Combine like terms: 9t + -9t = 0 -2r + 0 = 26 + 5t + -9t -2r = 26 + 5t + -9t Combine like terms: 5t + -9t = -4t -2r = 26 + -4t Divide each side by '-2'. r = -13 + 2t Simplifying r = -13 + 2t
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