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Simplifying 2(t + -24) = 5t + -3(t + 16) Reorder the terms: 2(-24 + t) = 5t + -3(t + 16) (-24 * 2 + t * 2) = 5t + -3(t + 16) (-48 + 2t) = 5t + -3(t + 16) Reorder the terms: -48 + 2t = 5t + -3(16 + t) -48 + 2t = 5t + (16 * -3 + t * -3) -48 + 2t = 5t + (-48 + -3t) Reorder the terms: -48 + 2t = -48 + 5t + -3t Combine like terms: 5t + -3t = 2t -48 + 2t = -48 + 2t Add '48' to each side of the equation. -48 + 48 + 2t = -48 + 48 + 2t Combine like terms: -48 + 48 = 0 0 + 2t = -48 + 48 + 2t 2t = -48 + 48 + 2t Combine like terms: -48 + 48 = 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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