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Simplifying -22 = -6(7 + -4r) + -4(6 + -5r) -22 = (7 * -6 + -4r * -6) + -4(6 + -5r) -22 = (-42 + 24r) + -4(6 + -5r) -22 = -42 + 24r + (6 * -4 + -5r * -4) -22 = -42 + 24r + (-24 + 20r) Reorder the terms: -22 = -42 + -24 + 24r + 20r Combine like terms: -42 + -24 = -66 -22 = -66 + 24r + 20r Combine like terms: 24r + 20r = 44r -22 = -66 + 44r Solving -22 = -66 + 44r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-44r' to each side of the equation. -22 + -44r = -66 + 44r + -44r Combine like terms: 44r + -44r = 0 -22 + -44r = -66 + 0 -22 + -44r = -66 Add '22' to each side of the equation. -22 + 22 + -44r = -66 + 22 Combine like terms: -22 + 22 = 0 0 + -44r = -66 + 22 -44r = -66 + 22 Combine like terms: -66 + 22 = -44 -44r = -44 Divide each side by '-44'. r = 1 Simplifying r = 1
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