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Simplifying 0.66t + -11 = 4(16 + -1t) + -0.33t Reorder the terms: -11 + 0.66t = 4(16 + -1t) + -0.33t -11 + 0.66t = (16 * 4 + -1t * 4) + -0.33t -11 + 0.66t = (64 + -4t) + -0.33t Combine like terms: -4t + -0.33t = -4.33t -11 + 0.66t = 64 + -4.33t Solving -11 + 0.66t = 64 + -4.33t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '4.33t' to each side of the equation. -11 + 0.66t + 4.33t = 64 + -4.33t + 4.33t Combine like terms: 0.66t + 4.33t = 4.99t -11 + 4.99t = 64 + -4.33t + 4.33t Combine like terms: -4.33t + 4.33t = 0.00 -11 + 4.99t = 64 + 0.00 -11 + 4.99t = 64 Add '11' to each side of the equation. -11 + 11 + 4.99t = 64 + 11 Combine like terms: -11 + 11 = 0 0 + 4.99t = 64 + 11 4.99t = 64 + 11 Combine like terms: 64 + 11 = 75 4.99t = 75 Divide each side by '4.99'. t = 15.03006012 Simplifying t = 15.03006012
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