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Simplifying -21 + 5r = 8(2r + 6) Reorder the terms: -21 + 5r = 8(6 + 2r) -21 + 5r = (6 * 8 + 2r * 8) -21 + 5r = (48 + 16r) Solving -21 + 5r = 48 + 16r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-16r' to each side of the equation. -21 + 5r + -16r = 48 + 16r + -16r Combine like terms: 5r + -16r = -11r -21 + -11r = 48 + 16r + -16r Combine like terms: 16r + -16r = 0 -21 + -11r = 48 + 0 -21 + -11r = 48 Add '21' to each side of the equation. -21 + 21 + -11r = 48 + 21 Combine like terms: -21 + 21 = 0 0 + -11r = 48 + 21 -11r = 48 + 21 Combine like terms: 48 + 21 = 69 -11r = 69 Divide each side by '-11'. r = -6.272727273 Simplifying r = -6.272727273
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