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Simplifying 2(4t + -2) = -7t + 5 + 3(5t + -3) Reorder the terms: 2(-2 + 4t) = -7t + 5 + 3(5t + -3) (-2 * 2 + 4t * 2) = -7t + 5 + 3(5t + -3) (-4 + 8t) = -7t + 5 + 3(5t + -3) Reorder the terms: -4 + 8t = -7t + 5 + 3(-3 + 5t) -4 + 8t = -7t + 5 + (-3 * 3 + 5t * 3) -4 + 8t = -7t + 5 + (-9 + 15t) Reorder the terms: -4 + 8t = 5 + -9 + -7t + 15t Combine like terms: 5 + -9 = -4 -4 + 8t = -4 + -7t + 15t Combine like terms: -7t + 15t = 8t -4 + 8t = -4 + 8t Add '4' to each side of the equation. -4 + 4 + 8t = -4 + 4 + 8t Combine like terms: -4 + 4 = 0 0 + 8t = -4 + 4 + 8t 8t = -4 + 4 + 8t Combine like terms: -4 + 4 = 0 8t = 0 + 8t 8t = 8t Add '-8t' to each side of the equation. 8t + -8t = 8t + -8t Combine like terms: 8t + -8t = 0 0 = 8t + -8t Combine like terms: 8t + -8t = 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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