0.3(7t+4)=0.21(t+3)-0.51

Solution for 0.3(7t+4)=0.21(t+3)-0.51 equation:

Simplifying
0.3(7t + 4) = 0.21(t + 3) + -0.51

Reorder the terms:
0.3(4 + 7t) = 0.21(t + 3) + -0.51
(4 * 0.3 + 7t * 0.3) = 0.21(t + 3) + -0.51
(1.2 + 2.1t) = 0.21(t + 3) + -0.51

Reorder the terms:
1.2 + 2.1t = 0.21(3 + t) + -0.51
1.2 + 2.1t = (3 * 0.21 + t * 0.21) + -0.51
1.2 + 2.1t = (0.63 + 0.21t) + -0.51

Reorder the terms:
1.2 + 2.1t = 0.63 + -0.51 + 0.21t

Combine like terms: 0.63 + -0.51 = 0.12
1.2 + 2.1t = 0.12 + 0.21t

Solving
1.2 + 2.1t = 0.12 + 0.21t

Solving for variable 't'.

Move all terms containing t to the left, all other terms to the right.

Add '-0.21t' to each side of the equation.
1.2 + 2.1t + -0.21t = 0.12 + 0.21t + -0.21t

Combine like terms: 2.1t + -0.21t = 1.89t
1.2 + 1.89t = 0.12 + 0.21t + -0.21t

Combine like terms: 0.21t + -0.21t = 0.00
1.2 + 1.89t = 0.12 + 0.00
1.2 + 1.89t = 0.12

Add '-1.2' to each side of the equation.
1.2 + -1.2 + 1.89t = 0.12 + -1.2

Combine like terms: 1.2 + -1.2 = 0.0
0.0 + 1.89t = 0.12 + -1.2
1.89t = 0.12 + -1.2

Combine like terms: 0.12 + -1.2 = -1.08
1.89t = -1.08

Divide each side by '1.89'.
t = -0.5714285714

Simplifying
t = -0.5714285714