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Simplifying -22 + 7r = 6(r + -4) Reorder the terms: -22 + 7r = 6(-4 + r) -22 + 7r = (-4 * 6 + r * 6) -22 + 7r = (-24 + 6r) Solving -22 + 7r = -24 + 6r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-6r' to each side of the equation. -22 + 7r + -6r = -24 + 6r + -6r Combine like terms: 7r + -6r = 1r -22 + 1r = -24 + 6r + -6r Combine like terms: 6r + -6r = 0 -22 + 1r = -24 + 0 -22 + 1r = -24 Add '22' to each side of the equation. -22 + 22 + 1r = -24 + 22 Combine like terms: -22 + 22 = 0 0 + 1r = -24 + 22 1r = -24 + 22 Combine like terms: -24 + 22 = -2 1r = -2 Divide each side by '1'. r = -2 Simplifying r = -2
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