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Simplifying t + -5 + -3t = -15 + -1(2t + -10) Reorder the terms: -5 + t + -3t = -15 + -1(2t + -10) Combine like terms: t + -3t = -2t -5 + -2t = -15 + -1(2t + -10) Reorder the terms: -5 + -2t = -15 + -1(-10 + 2t) -5 + -2t = -15 + (-10 * -1 + 2t * -1) -5 + -2t = -15 + (10 + -2t) Combine like terms: -15 + 10 = -5 -5 + -2t = -5 + -2t Add '5' to each side of the equation. -5 + 5 + -2t = -5 + 5 + -2t Combine like terms: -5 + 5 = 0 0 + -2t = -5 + 5 + -2t -2t = -5 + 5 + -2t Combine like terms: -5 + 5 = 0 -2t = 0 + -2t -2t = -2t Add '2t' to each side of the equation. -2t + 2t = -2t + 2t Combine like terms: -2t + 2t = 0 0 = -2t + 2t Combine like terms: -2t + 2t = 0 0 = 0 Solving 0 = 0 Couldn't find a variable to solve for. This equation is an identity, all real numbers are solutions.
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