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Simplifying 5(r + 9) + 4(x + -6) = -4 Reorder the terms: 5(9 + r) + 4(x + -6) = -4 (9 * 5 + r * 5) + 4(x + -6) = -4 (45 + 5r) + 4(x + -6) = -4 Reorder the terms: 45 + 5r + 4(-6 + x) = -4 45 + 5r + (-6 * 4 + x * 4) = -4 45 + 5r + (-24 + 4x) = -4 Reorder the terms: 45 + -24 + 5r + 4x = -4 Combine like terms: 45 + -24 = 21 21 + 5r + 4x = -4 Solving 21 + 5r + 4x = -4 Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-21' to each side of the equation. 21 + 5r + -21 + 4x = -4 + -21 Reorder the terms: 21 + -21 + 5r + 4x = -4 + -21 Combine like terms: 21 + -21 = 0 0 + 5r + 4x = -4 + -21 5r + 4x = -4 + -21 Combine like terms: -4 + -21 = -25 5r + 4x = -25 Add '-4x' to each side of the equation. 5r + 4x + -4x = -25 + -4x Combine like terms: 4x + -4x = 0 5r + 0 = -25 + -4x 5r = -25 + -4x Divide each side by '5'. r = -5 + -0.8x Simplifying r = -5 + -0.8x
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