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Simplifying 4(4 + -1t) + -1(3 + -2r) = 10 (4 * 4 + -1t * 4) + -1(3 + -2r) = 10 (16 + -4t) + -1(3 + -2r) = 10 16 + -4t + (3 * -1 + -2r * -1) = 10 16 + -4t + (-3 + 2r) = 10 Reorder the terms: 16 + -3 + 2r + -4t = 10 Combine like terms: 16 + -3 = 13 13 + 2r + -4t = 10 Solving 13 + 2r + -4t = 10 Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-13' to each side of the equation. 13 + 2r + -13 + -4t = 10 + -13 Reorder the terms: 13 + -13 + 2r + -4t = 10 + -13 Combine like terms: 13 + -13 = 0 0 + 2r + -4t = 10 + -13 2r + -4t = 10 + -13 Combine like terms: 10 + -13 = -3 2r + -4t = -3 Add '4t' to each side of the equation. 2r + -4t + 4t = -3 + 4t Combine like terms: -4t + 4t = 0 2r + 0 = -3 + 4t 2r = -3 + 4t Divide each side by '2'. r = -1.5 + 2t Simplifying r = -1.5 + 2t
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