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Simplifying -38 + -6r = 4(1 + -5r) -38 + -6r = (1 * 4 + -5r * 4) -38 + -6r = (4 + -20r) Solving -38 + -6r = 4 + -20r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '20r' to each side of the equation. -38 + -6r + 20r = 4 + -20r + 20r Combine like terms: -6r + 20r = 14r -38 + 14r = 4 + -20r + 20r Combine like terms: -20r + 20r = 0 -38 + 14r = 4 + 0 -38 + 14r = 4 Add '38' to each side of the equation. -38 + 38 + 14r = 4 + 38 Combine like terms: -38 + 38 = 0 0 + 14r = 4 + 38 14r = 4 + 38 Combine like terms: 4 + 38 = 42 14r = 42 Divide each side by '14'. r = 3 Simplifying r = 3
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