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Simplifying -3(4t + 5) = 2(4 + -6t) + -23 Reorder the terms: -3(5 + 4t) = 2(4 + -6t) + -23 (5 * -3 + 4t * -3) = 2(4 + -6t) + -23 (-15 + -12t) = 2(4 + -6t) + -23 -15 + -12t = (4 * 2 + -6t * 2) + -23 -15 + -12t = (8 + -12t) + -23 Reorder the terms: -15 + -12t = 8 + -23 + -12t Combine like terms: 8 + -23 = -15 -15 + -12t = -15 + -12t Add '15' to each side of the equation. -15 + 15 + -12t = -15 + 15 + -12t Combine like terms: -15 + 15 = 0 0 + -12t = -15 + 15 + -12t -12t = -15 + 15 + -12t Combine like terms: -15 + 15 = 0 -12t = 0 + -12t -12t = -12t Add '12t' to each side of the equation. -12t + 12t = -12t + 12t Combine like terms: -12t + 12t = 0 0 = -12t + 12t Combine like terms: -12t + 12t = 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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