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Simplifying -4(r + -4 + -4s + -7t) = 0 Reorder the terms: -4(-4 + r + -4s + -7t) = 0 (-4 * -4 + r * -4 + -4s * -4 + -7t * -4) = 0 (16 + -4r + 16s + 28t) = 0 Solving 16 + -4r + 16s + 28t = 0 Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-16' to each side of the equation. 16 + -4r + 16s + -16 + 28t = 0 + -16 Reorder the terms: 16 + -16 + -4r + 16s + 28t = 0 + -16 Combine like terms: 16 + -16 = 0 0 + -4r + 16s + 28t = 0 + -16 -4r + 16s + 28t = 0 + -16 Combine like terms: 0 + -16 = -16 -4r + 16s + 28t = -16 Add '-16s' to each side of the equation. -4r + 16s + -16s + 28t = -16 + -16s Combine like terms: 16s + -16s = 0 -4r + 0 + 28t = -16 + -16s -4r + 28t = -16 + -16s Add '-28t' to each side of the equation. -4r + 28t + -28t = -16 + -16s + -28t Combine like terms: 28t + -28t = 0 -4r + 0 = -16 + -16s + -28t -4r = -16 + -16s + -28t Divide each side by '-4'. r = 4 + 4s + 7t Simplifying r = 4 + 4s + 7t
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