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Simplifying -22 + -3(6r + -4) = 7(-4 + -3r) Reorder the terms: -22 + -3(-4 + 6r) = 7(-4 + -3r) -22 + (-4 * -3 + 6r * -3) = 7(-4 + -3r) -22 + (12 + -18r) = 7(-4 + -3r) Combine like terms: -22 + 12 = -10 -10 + -18r = 7(-4 + -3r) -10 + -18r = (-4 * 7 + -3r * 7) -10 + -18r = (-28 + -21r) Solving -10 + -18r = -28 + -21r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '21r' to each side of the equation. -10 + -18r + 21r = -28 + -21r + 21r Combine like terms: -18r + 21r = 3r -10 + 3r = -28 + -21r + 21r Combine like terms: -21r + 21r = 0 -10 + 3r = -28 + 0 -10 + 3r = -28 Add '10' to each side of the equation. -10 + 10 + 3r = -28 + 10 Combine like terms: -10 + 10 = 0 0 + 3r = -28 + 10 3r = -28 + 10 Combine like terms: -28 + 10 = -18 3r = -18 Divide each side by '3'. r = -6 Simplifying r = -6
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