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Simplifying 6(-9t + -14) = -2 + 2(-20t + -6) Reorder the terms: 6(-14 + -9t) = -2 + 2(-20t + -6) (-14 * 6 + -9t * 6) = -2 + 2(-20t + -6) (-84 + -54t) = -2 + 2(-20t + -6) Reorder the terms: -84 + -54t = -2 + 2(-6 + -20t) -84 + -54t = -2 + (-6 * 2 + -20t * 2) -84 + -54t = -2 + (-12 + -40t) Combine like terms: -2 + -12 = -14 -84 + -54t = -14 + -40t Solving -84 + -54t = -14 + -40t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '40t' to each side of the equation. -84 + -54t + 40t = -14 + -40t + 40t Combine like terms: -54t + 40t = -14t -84 + -14t = -14 + -40t + 40t Combine like terms: -40t + 40t = 0 -84 + -14t = -14 + 0 -84 + -14t = -14 Add '84' to each side of the equation. -84 + 84 + -14t = -14 + 84 Combine like terms: -84 + 84 = 0 0 + -14t = -14 + 84 -14t = -14 + 84 Combine like terms: -14 + 84 = 70 -14t = 70 Divide each side by '-14'. t = -5 Simplifying t = -5
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