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Simplifying 5(t + -3) + -11t = 10 + -6(t + 1) Reorder the terms: 5(-3 + t) + -11t = 10 + -6(t + 1) (-3 * 5 + t * 5) + -11t = 10 + -6(t + 1) (-15 + 5t) + -11t = 10 + -6(t + 1) Combine like terms: 5t + -11t = -6t -15 + -6t = 10 + -6(t + 1) Reorder the terms: -15 + -6t = 10 + -6(1 + t) -15 + -6t = 10 + (1 * -6 + t * -6) -15 + -6t = 10 + (-6 + -6t) Combine like terms: 10 + -6 = 4 -15 + -6t = 4 + -6t Add '6t' to each side of the equation. -15 + -6t + 6t = 4 + -6t + 6t Combine like terms: -6t + 6t = 0 -15 + 0 = 4 + -6t + 6t -15 = 4 + -6t + 6t Combine like terms: -6t + 6t = 0 -15 = 4 + 0 -15 = 4 Solving -15 = 4 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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