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Simplifying 4 + -3(2t + 12) = -2 + -2(15 + 3t) Reorder the terms: 4 + -3(12 + 2t) = -2 + -2(15 + 3t) 4 + (12 * -3 + 2t * -3) = -2 + -2(15 + 3t) 4 + (-36 + -6t) = -2 + -2(15 + 3t) Combine like terms: 4 + -36 = -32 -32 + -6t = -2 + -2(15 + 3t) -32 + -6t = -2 + (15 * -2 + 3t * -2) -32 + -6t = -2 + (-30 + -6t) Combine like terms: -2 + -30 = -32 -32 + -6t = -32 + -6t Add '32' to each side of the equation. -32 + 32 + -6t = -32 + 32 + -6t Combine like terms: -32 + 32 = 0 0 + -6t = -32 + 32 + -6t -6t = -32 + 32 + -6t Combine like terms: -32 + 32 = 0 -6t = 0 + -6t -6t = -6t Add '6t' to each side of the equation. -6t + 6t = -6t + 6t Combine like terms: -6t + 6t = 0 0 = -6t + 6t Combine like terms: -6t + 6t = 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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