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Simplifying -38 + -3r = 4(1 + -6r) -38 + -3r = (1 * 4 + -6r * 4) -38 + -3r = (4 + -24r) Solving -38 + -3r = 4 + -24r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '24r' to each side of the equation. -38 + -3r + 24r = 4 + -24r + 24r Combine like terms: -3r + 24r = 21r -38 + 21r = 4 + -24r + 24r Combine like terms: -24r + 24r = 0 -38 + 21r = 4 + 0 -38 + 21r = 4 Add '38' to each side of the equation. -38 + 38 + 21r = 4 + 38 Combine like terms: -38 + 38 = 0 0 + 21r = 4 + 38 21r = 4 + 38 Combine like terms: 4 + 38 = 42 21r = 42 Divide each side by '21'. r = 2 Simplifying r = 2
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