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Simplifying 4(t + 3) = 19t Reorder the terms: 4(3 + t) = 19t (3 * 4 + t * 4) = 19t (12 + 4t) = 19t Solving 12 + 4t = 19t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-19t' to each side of the equation. 12 + 4t + -19t = 19t + -19t Combine like terms: 4t + -19t = -15t 12 + -15t = 19t + -19t Combine like terms: 19t + -19t = 0 12 + -15t = 0 Add '-12' to each side of the equation. 12 + -12 + -15t = 0 + -12 Combine like terms: 12 + -12 = 0 0 + -15t = 0 + -12 -15t = 0 + -12 Combine like terms: 0 + -12 = -12 -15t = -12 Divide each side by '-15'. t = 0.8 Simplifying t = 0.8
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