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Simplifying R(3 + 2) + -6(t + -5) + -22 = 6 Combine like terms: 3 + 2 = 5 R(5) + -6(t + -5) + -22 = 6 Reorder the terms for easier multiplication: 5R + -6(t + -5) + -22 = 6 Reorder the terms: 5R + -6(-5 + t) + -22 = 6 5R + (-5 * -6 + t * -6) + -22 = 6 5R + (30 + -6t) + -22 = 6 Reorder the terms: 30 + -22 + 5R + -6t = 6 Combine like terms: 30 + -22 = 8 8 + 5R + -6t = 6 Solving 8 + 5R + -6t = 6 Solving for variable 'R'. Move all terms containing R to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + 5R + -8 + -6t = 6 + -8 Reorder the terms: 8 + -8 + 5R + -6t = 6 + -8 Combine like terms: 8 + -8 = 0 0 + 5R + -6t = 6 + -8 5R + -6t = 6 + -8 Combine like terms: 6 + -8 = -2 5R + -6t = -2 Add '6t' to each side of the equation. 5R + -6t + 6t = -2 + 6t Combine like terms: -6t + 6t = 0 5R + 0 = -2 + 6t 5R = -2 + 6t Divide each side by '5'. R = -0.4 + 1.2t Simplifying R = -0.4 + 1.2t
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