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Simplifying -38 + -6r = 8(8r + 4) Reorder the terms: -38 + -6r = 8(4 + 8r) -38 + -6r = (4 * 8 + 8r * 8) -38 + -6r = (32 + 64r) Solving -38 + -6r = 32 + 64r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-64r' to each side of the equation. -38 + -6r + -64r = 32 + 64r + -64r Combine like terms: -6r + -64r = -70r -38 + -70r = 32 + 64r + -64r Combine like terms: 64r + -64r = 0 -38 + -70r = 32 + 0 -38 + -70r = 32 Add '38' to each side of the equation. -38 + 38 + -70r = 32 + 38 Combine like terms: -38 + 38 = 0 0 + -70r = 32 + 38 -70r = 32 + 38 Combine like terms: 32 + 38 = 70 -70r = 70 Divide each side by '-70'. r = -1 Simplifying r = -1
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