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Simplifying (r + 3 + -1t) * 4 = 0 Reorder the terms: (3 + r + -1t) * 4 = 0 Reorder the terms for easier multiplication: 4(3 + r + -1t) = 0 (3 * 4 + r * 4 + -1t * 4) = 0 (12 + 4r + -4t) = 0 Solving 12 + 4r + -4t = 0 Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-12' to each side of the equation. 12 + 4r + -12 + -4t = 0 + -12 Reorder the terms: 12 + -12 + 4r + -4t = 0 + -12 Combine like terms: 12 + -12 = 0 0 + 4r + -4t = 0 + -12 4r + -4t = 0 + -12 Combine like terms: 0 + -12 = -12 4r + -4t = -12 Add '4t' to each side of the equation. 4r + -4t + 4t = -12 + 4t Combine like terms: -4t + 4t = 0 4r + 0 = -12 + 4t 4r = -12 + 4t Divide each side by '4'. r = -3 + t Simplifying r = -3 + t
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