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Simplifying -7t + 4(-21t + -15) = -7(2t + 19) Reorder the terms: -7t + 4(-15 + -21t) = -7(2t + 19) -7t + (-15 * 4 + -21t * 4) = -7(2t + 19) -7t + (-60 + -84t) = -7(2t + 19) Reorder the terms: -60 + -7t + -84t = -7(2t + 19) Combine like terms: -7t + -84t = -91t -60 + -91t = -7(2t + 19) Reorder the terms: -60 + -91t = -7(19 + 2t) -60 + -91t = (19 * -7 + 2t * -7) -60 + -91t = (-133 + -14t) Solving -60 + -91t = -133 + -14t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '14t' to each side of the equation. -60 + -91t + 14t = -133 + -14t + 14t Combine like terms: -91t + 14t = -77t -60 + -77t = -133 + -14t + 14t Combine like terms: -14t + 14t = 0 -60 + -77t = -133 + 0 -60 + -77t = -133 Add '60' to each side of the equation. -60 + 60 + -77t = -133 + 60 Combine like terms: -60 + 60 = 0 0 + -77t = -133 + 60 -77t = -133 + 60 Combine like terms: -133 + 60 = -73 -77t = -73 Divide each side by '-77'. t = 0.9480519481 Simplifying t = 0.9480519481
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