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Simplifying 5(R + -6) + -8(R + -1) = 7(R + 5) Reorder the terms: 5(-6 + R) + -8(R + -1) = 7(R + 5) (-6 * 5 + R * 5) + -8(R + -1) = 7(R + 5) (-30 + 5R) + -8(R + -1) = 7(R + 5) Reorder the terms: -30 + 5R + -8(-1 + R) = 7(R + 5) -30 + 5R + (-1 * -8 + R * -8) = 7(R + 5) -30 + 5R + (8 + -8R) = 7(R + 5) Reorder the terms: -30 + 8 + 5R + -8R = 7(R + 5) Combine like terms: -30 + 8 = -22 -22 + 5R + -8R = 7(R + 5) Combine like terms: 5R + -8R = -3R -22 + -3R = 7(R + 5) Reorder the terms: -22 + -3R = 7(5 + R) -22 + -3R = (5 * 7 + R * 7) -22 + -3R = (35 + 7R) Solving -22 + -3R = 35 + 7R Solving for variable 'R'. Move all terms containing R to the left, all other terms to the right. Add '-7R' to each side of the equation. -22 + -3R + -7R = 35 + 7R + -7R Combine like terms: -3R + -7R = -10R -22 + -10R = 35 + 7R + -7R Combine like terms: 7R + -7R = 0 -22 + -10R = 35 + 0 -22 + -10R = 35 Add '22' to each side of the equation. -22 + 22 + -10R = 35 + 22 Combine like terms: -22 + 22 = 0 0 + -10R = 35 + 22 -10R = 35 + 22 Combine like terms: 35 + 22 = 57 -10R = 57 Divide each side by '-10'. R = -5.7 Simplifying R = -5.7
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