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Simplifying 6(t + -7) + 9t = 3(5t + 3) + -6 Reorder the terms: 6(-7 + t) + 9t = 3(5t + 3) + -6 (-7 * 6 + t * 6) + 9t = 3(5t + 3) + -6 (-42 + 6t) + 9t = 3(5t + 3) + -6 Combine like terms: 6t + 9t = 15t -42 + 15t = 3(5t + 3) + -6 Reorder the terms: -42 + 15t = 3(3 + 5t) + -6 -42 + 15t = (3 * 3 + 5t * 3) + -6 -42 + 15t = (9 + 15t) + -6 Reorder the terms: -42 + 15t = 9 + -6 + 15t Combine like terms: 9 + -6 = 3 -42 + 15t = 3 + 15t Add '-15t' to each side of the equation. -42 + 15t + -15t = 3 + 15t + -15t Combine like terms: 15t + -15t = 0 -42 + 0 = 3 + 15t + -15t -42 = 3 + 15t + -15t Combine like terms: 15t + -15t = 0 -42 = 3 + 0 -42 = 3 Solving -42 = 3 Couldn't find a variable to solve for. This equation is invalid, the left and right sides are not equal, therefore there is no solution.
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