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Simplifying -7(t + 2) + -1t + -5 = -8(t + 5) + 21 Reorder the terms: -7(2 + t) + -1t + -5 = -8(t + 5) + 21 (2 * -7 + t * -7) + -1t + -5 = -8(t + 5) + 21 (-14 + -7t) + -1t + -5 = -8(t + 5) + 21 Reorder the terms: -14 + -5 + -7t + -1t = -8(t + 5) + 21 Combine like terms: -14 + -5 = -19 -19 + -7t + -1t = -8(t + 5) + 21 Combine like terms: -7t + -1t = -8t -19 + -8t = -8(t + 5) + 21 Reorder the terms: -19 + -8t = -8(5 + t) + 21 -19 + -8t = (5 * -8 + t * -8) + 21 -19 + -8t = (-40 + -8t) + 21 Reorder the terms: -19 + -8t = -40 + 21 + -8t Combine like terms: -40 + 21 = -19 -19 + -8t = -19 + -8t Add '19' to each side of the equation. -19 + 19 + -8t = -19 + 19 + -8t Combine like terms: -19 + 19 = 0 0 + -8t = -19 + 19 + -8t -8t = -19 + 19 + -8t Combine like terms: -19 + 19 = 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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