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Simplifying 3(r + -6) + 2 = 4(7t + -1) Reorder the terms: 3(-6 + r) + 2 = 4(7t + -1) (-6 * 3 + r * 3) + 2 = 4(7t + -1) (-18 + 3r) + 2 = 4(7t + -1) Reorder the terms: -18 + 2 + 3r = 4(7t + -1) Combine like terms: -18 + 2 = -16 -16 + 3r = 4(7t + -1) Reorder the terms: -16 + 3r = 4(-1 + 7t) -16 + 3r = (-1 * 4 + 7t * 4) -16 + 3r = (-4 + 28t) Solving -16 + 3r = -4 + 28t 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 + 16 + 3r = -4 + 16 + 28t Combine like terms: -16 + 16 = 0 0 + 3r = -4 + 16 + 28t 3r = -4 + 16 + 28t Combine like terms: -4 + 16 = 12 3r = 12 + 28t Divide each side by '3'. r = 4 + 9.333333333t Simplifying r = 4 + 9.333333333t
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