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Simplifying 3t + -2 = 5(t + -2) + -2(t + -4) Reorder the terms: -2 + 3t = 5(t + -2) + -2(t + -4) Reorder the terms: -2 + 3t = 5(-2 + t) + -2(t + -4) -2 + 3t = (-2 * 5 + t * 5) + -2(t + -4) -2 + 3t = (-10 + 5t) + -2(t + -4) Reorder the terms: -2 + 3t = -10 + 5t + -2(-4 + t) -2 + 3t = -10 + 5t + (-4 * -2 + t * -2) -2 + 3t = -10 + 5t + (8 + -2t) Reorder the terms: -2 + 3t = -10 + 8 + 5t + -2t Combine like terms: -10 + 8 = -2 -2 + 3t = -2 + 5t + -2t Combine like terms: 5t + -2t = 3t -2 + 3t = -2 + 3t Add '2' to each side of the equation. -2 + 2 + 3t = -2 + 2 + 3t Combine like terms: -2 + 2 = 0 0 + 3t = -2 + 2 + 3t 3t = -2 + 2 + 3t Combine like terms: -2 + 2 = 0 3t = 0 + 3t 3t = 3t Add '-3t' to each side of the equation. 3t + -3t = 3t + -3t Combine like terms: 3t + -3t = 0 0 = 3t + -3t Combine like terms: 3t + -3t = 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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