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Simplifying 3(2t + -4) + -1t + 5 = 5t + -7 Reorder the terms: 3(-4 + 2t) + -1t + 5 = 5t + -7 (-4 * 3 + 2t * 3) + -1t + 5 = 5t + -7 (-12 + 6t) + -1t + 5 = 5t + -7 Reorder the terms: -12 + 5 + 6t + -1t = 5t + -7 Combine like terms: -12 + 5 = -7 -7 + 6t + -1t = 5t + -7 Combine like terms: 6t + -1t = 5t -7 + 5t = 5t + -7 Reorder the terms: -7 + 5t = -7 + 5t Add '7' to each side of the equation. -7 + 7 + 5t = -7 + 7 + 5t Combine like terms: -7 + 7 = 0 0 + 5t = -7 + 7 + 5t 5t = -7 + 7 + 5t Combine like terms: -7 + 7 = 0 5t = 0 + 5t 5t = 5t Add '-5t' to each side of the equation. 5t + -5t = 5t + -5t Combine like terms: 5t + -5t = 0 0 = 5t + -5t Combine like terms: 5t + -5t = 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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